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In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function zero

Quadratic function is a function that can be described by an equation of the form f(x) = ax2 + bx + c, where a ≠ 0. In a quadratic function, the greatest power of the variable is 2. The graph of a quadratic function is a parabola. quadratic function

The discriminant of an equation gives an idea of the number of roots and the nature of roots of the equation. In other words, it "discriminates" between the possible solutions. The discriminant is the expression found under the square root part of the quadratic formula (that is, . ... If , there is one real solution. no real solutions

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape. parabola

a number that produces a specified quantity when multiplied by itself. squareroot

relating to or affecting the fundamental nature of something; far-reaching or thorough. radical

The imaginary unit is denoted and commonly referred to as "i." Although there are two possible square roots of any number, the square roots of a negative number cannot be distinguished until one of the two is defined as the imaginary unit, at which point and can then be distinguished. imaginary unit

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y). coefficients

another term for factorize. factoring

A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying i2 = complex number

as great, high, or intense as possible or permitted maximum

In algebra, a conjugate is a binomial formed by negating the second term of a binomial. The conjugate of x + y is x − y, where x and y are real numbers. If y is imaginary, the process is termed complex conjugation: the complex conjugate of a + bi is a − bi, where a and b are real. conjugates

While factoring may not always be successful, the Quadratic Formula can always find the solution. The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you quadratic equation

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product. foil

Take a closer look, and you'll see that the y-axis is also the line "x = 0". In the same way, the x-axis is also the line "y = 0". Then, algebraically, an x-intercept is a point on the graph where y is zero, and. a y-intercept is a point on the graph where x is zero. x-intercept

The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called y = mx + b form. intercept form

in mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function ( ... minimum

When the Discriminant (b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions. two real solution

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the opposite of distributing factoring

Ax^2+Bx+C quadratic equation

b^2-4ac =0 one real solution

b^2-4ac>0 two real solutions

b^2-4ac<0 no real solution

used to find the zeros(roots,x-intercepts,solutions)to a quadratic equation. Quadratic Formula

roots, x-intercepts and solutions zeros

b^2 -4ac discriminant

Ax^2+Bx+C=0 Standard form

numbers that is multiplied by a variable coefficients

the shape of the graph of a quadratic function parabola

the peak in the curve vertex

where a<0 maximum

where a>0 minimum

when the discriminant is negative complex number

when the squared number is a negatve imaginary unit

where the parabola hits x-intercept

when Ax^2+Bx+C does not equal 0 quadratic function

cannot change in equation constant

line of symmetry of a parabola axis of symmetry

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f(x) ; in form of __________________ Quadratic Function

a point/curved line equidistant to focus/directrix Parabola

__________________, used for parabolas Quadratic Equation

the solutions to a quadratic equation Zeros

A perfect square, for example __________________ Square Root

a number that includes both a real and imaginary number. Complex Number

putting the constant on the other side of the equation to make a perfect/factorable trinomial. Completing the Square

a bad boy couldn't decide whether or not to go to a raaaadical house party, he didn't want to be square and miss out on 4 awesome chicks. The party ended at 2 am. (__________________) Quadratic Formula

y=__________________ ; gives you number of solutions discriminant

where the axis of symmetry passes through, minimum/maximum in parabola. (written as coordinate) Vertex

where the line intercepts the x-axis. X-intercept

the solutions to the quadratic formula Roots

the x-value of the vertex, line that hits the parabola (line makes parabola symmetrical) Axis of Symmetry

__________________=0 Standard Form

y=__________________ ; translations to find vertex Vertex Form

when a is negative, y-value of vertex, highest point on the parabola Maximum

when a is positive, y-value of vertex, lowest point on the parabola Minimum

an expression with three terms Trinomial

symbol: _______ ; used to find perfect squares (ex. 8x8=64, ______) Radical

when the discriminant is negative No real solutions

when the discriminant is positive Two real solutions

when the discriminant is 0 One real solution

Square root of negative number; _____ Imaginary Number

what is multiplied to the variable, x Coefficients

"c" term in Quadratic Equation Constant

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a, b and c are real numbers Quadratic Function

The highest point Vertex

The line crosses the x-axis x-intercept

Vertical line that goes through the vertex Axis of Symmetry

y=m x + b Intercept Form

As great, high or the most Maximum

The least or smallest Minimum

The expression found under the square root Discriminant

A number or constant placed before Coefficients

x + 5=9 Constant

A number that can be expressed in the form a + b Complex Number

ax^2 + bx + c=0 Quadratic Equation

An input value Zeros

Multiplies by itself Square Root

Used to simplify expressions, fractions and solve equations Factoring

Showing data or finished results Tables

Consisting of three terms Trinomial

A binomial formed by negating the second term of a binomial Conjugates

Has two solutions Quadratic Formula

Multiplying two binomials Foil

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function that can be described as an equation quadratic function

no quantity or number zeros

formula used to solve quadratic equations quadratic formula

where a function equals zero roots

h and the letter k being the vertex point of the parabola vertex form

an algebraic expression of three terms trinomial

negative or no real numbers no real solutions

shape like a U u-shaped

exponent is squared by two squared-exponent

two dimentional and U-shaped parabola

number that produces a specified quantity when multiplied by itself square root

function of the coefficients of a polynomial equation discriminant

passes through the vertex of the parabola axis of symmetry

technique used to solve quadratic equations complteing the square

a quantity forming or expressed as the root of another radical

solution is usually denoted i. imaginary unit

numerical or constant quantity coefficients

breaking up a polynomial into simpler terms factoring

number of the form a + bi complex number

the highest point; the top or apex vertex

using scientific notation standard form

number that nothing can exceed in that situation. maximum

one real number one real solution

changing the sign between two terms conjugates

fixed and well defined number constant

equation having the form where x represents an unknown, and a, b, and c quadratic equation

mnemonic for the standard method foil

line is the point at which the line crosses the x-axis. x-intercept

slope of the line is m and the y-intercept of the line is b intercept form

the value of a function at a certain point in its domain minimum

two real numbers two real solutions

b2 binomial squared

method of solving equations tables

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Ax+By=C Standard Form

the line crosses the y axis here yintercept

the line crosses the x axis here xintercept

the numerical factor of a monomial coefficient

a monomial that does not contain variables constant

a number that multiplies times itself square root

rational numbers that look alike but have different signs conjugates

solutions of a quadratic equation roots

another name for the solutions of a quadratic equation zeros

y=a(x-h)²+k vertex form

a line that goes in an odd number of directions odd function

a line that goes in an even amount of directions even function

a rule that helps a person find the roots of a polynomial by looking at the signs descartes rule of signs

used to make a quadratic equation into a perfect trinomial completing the square

b²-4ac discriminant

a way to distribute two binomials foil

a way to divide a polynomial by a binomial synthetic division

the greatest y-coordinate of nearby points on a graph relative maximum

highest y-coordinate on a graph maximum

the lowest y-coordinate on a graph minimum

the axis of symmetry meets the parabola here vertex

a symmetrical curve beginning at a fixed point parabola

a ¨division symbol¨ with a tail radical

crosses the x axis one time one real solution

crosses the x axis twice two real solutions

never crosses the x axis no real solution

asking 4 questions to break down an equation to its smallest form factoring

an equation with 3 terms trinomial

data arranged in rows and columns tables

a line which splits down the middle of a shape and has equal parts on both sides axis of symmetry

the sum of the exponents of the variable in a monomial degree of the fuction

numbers in the form (a=bi) where a and b are real; i is imaginary complex numbers

an equation containing at least one squared term quadratic equation

x equals negative b plus or minus the square root of b² minus 4ac all over 2a quadratic formula

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The number D = b2 – 4ac determined from the coefficients of the equation ax2 + bx + c = 0. Discriminant

a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. squareroot

also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x) = 0. zero

the formula for determining theroots of a quadratic equation from its coefficients: . quadratic formula

value of a function is the place where the graph has a vertex at its lowest point minimum

the common point to join the two line segments vertex form

where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis x-intercept

an important process in algebra which is used to simplify expressions, simplify fractions, and solve equations. factoring

if you square any Real Number you always get a positive, or zero, result. For example 2×2=4, and (-2)×(-2)=4 as well imaginary unit

a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number constant

a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. standard form

the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0 quadratic equation

it "discriminates" between the possible solutions one real solution

6z means 6 times z, and "z" is a variable, so 6 coefficients

First, Outer, Inner, Last. First means multiply the terms which occur first in each binomia foil

(√) symbol radical

a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals completing the square

In 8^2 the "2" says to use 8 twice in a multiplication, so 82 = 8 × 8 = 64. In words: 82 could be called "8 to the power 2" or "8 to the second power squared exponent

a quantity of the form v + iw, where v and w are real numbers complex number

a corner or a point where lines meet. vertex

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You find me by using the formula -b/2a Axis of symmetry

f(x) = ax2 + bx + c Quadratic Function

A point where two or more curves, lines, or edges meet vertex

The value of a function at a certain point in its domain, which is greater than or equal to the values at all other points Maximum

Vertex at its lowest point Minimum

My symbol is (√) Radical

x + y is x − y, where x and y are real numbers. If y is imaginary Conjugates

A u-shaped curve with certain specific properties Parrabola

Used to simplify expressions, simplify fractions, and solve equations Factoring

y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0. Quadratic Equation

Also sometimes called a root, of a real-, complex- or generally vector-valued function Zeros

When multiplied by itself, gives the number Square root

Is a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals completing the square

my formula is ax^2+bx+c=0 Quadratic Formula

Reveals what type of roots the equation has. Discriminant

Are where the graph crosses the x-axis X intercept

Are exactly the x-intercepts of the quadratic function Roots

Is another way to write slope (as opposed to y=mx+b) Standard Form

The equation of a straight line Intercept Form

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola Vertex Form

A technique for distributing two binomials( First, Outer, Inner, Last) Foil

Equation that has three terms which are connected by plus or minus notations Trinomial

The value of only one solution, root, or x-intercept the quadratic equation will have One real solution

The value of two solutions, roots, or x-intercepts the quadratic equation will have Two real Solutions

The value of not having any solutions, roots, or x-intercepts the quadratic equation will have No real solutions

One that when squared gives a negative result Imaginary Unit

It simply means to multiply it by itself(binomial) Binomials Squared

The shape of a Parabola U shaped

6z means 6 times z, and "z" is a variable, so 6 is a ... Coefficients

Number on its own, or sometimes a letter such as a, b or c to stand for a fixed number Constant

Describes a function by displaying inputs and corresponding outputs in tabular form Tables

Refers to the number of times a number is multiplied by itself(exponent) Squared Exponent

Is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit Complex Number

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one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. Quadratic Function

2. a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line Parabola

simplify expressions, simplify fractions, and solve equations Factoring

4. an equation containing a single variable of degree 2 quadratic equation

5. is a number used to multiply a variabl Coefficient

6. number is a value that, when multiplied by itself, gives the number Square root

7.a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit Complex number

8.the highest or lowest point, also known as the maximum or minimum of a parabola. Vertex

9.the point at which the graph of an equation crosses the x-axis. X-intercept

10. A line through a shape so that each side is a mirror image. Axis of symmetry

11. A mathematical expression that is the sum of three monomials Trinomial

12. An expression that has a square root, cube root, etc. Radical

13. one that when squared gives a negative result Imaginary Unit

14. where you change the sign in the middle of two terms Conjugates

15. a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number Constant

16.a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals Completing the square

17. another way of writing the equation of a line. Standard form

18. the value of a function at a certain point in its domain, which is greater than or equal to the values at all other points in the immediate vicinity of the point Maximum

19. the place where the graph has a vertex at its lowest point Minimum

20. members x of the domain of f such that f(x) vanishes at x Zeros

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f(x) = ax2 + bx + c quadratic function

A u-shaped curve with certain specific properties parabola

The value of a function at a certain point in its domain, which is greater than or equal to the values at all other points maximum

Vertex at its lowest point minimum

You find me by using the formula -b/2a axis of symmetry

Is another way to write slope (as opposed to y=mx+b) standard form

One that when squared gives a negative result imaginary unit

Used to simplify expressions, simplify fractions, and solve equations factoring

Equation that has three terms which are connected by plus or minus notations trinomial

A point where two or more curves, lines, or edges meet vertex

The value of only one solution, root, or x-intercept the quadratic equation will have one real solution

When multiplied by itself, gives the number square root

Is a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals completing the square

Are exactly the x-intercepts of the quadratic function roots

My symbol is (√) radical

A technique for distributing two binomials( First, Outer, Inner, Last) foil

Reveals what type of roots the equation has. discriminant

Is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit complex number

The value of not having any solutions, roots, or x-intercepts the quadratic equation will have no real solutions

The equation of a straight line intercept form

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a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape. Parabola

A quadratic function is a second-degree polynomial function of the form , where a, b, and c are real numbers and . Every quadratic function has a “u-shaped” graph called a parabola. Quadratic function

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. Quadratic equation

a number that produces a specified quantity when multiplied by itself. Square root

the highest point; the top or apex. Vertex

. The x-intercept of a line is the point at which the line. crosses the x axis. X intercept

Standard form is a way of writing down very large or very small numbers easily. Sign up to practice Algebra. Standard form

technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product. Foil

1. the greatest or highest amount possible or attained. Maximum

the least or smallest amount or quantity possible, attainable, or required Minimum

(of an algebraic expression) consisting of three terms. Trinomial

give the different forms Conjugate

numerical or constant quantity placed before and multiplying the variable in an algebraic expression Coefficient

occurring continuously over a period of time Constant

a trinomial that when factored gives you the square of a binomial. Binomial square

how many times to use that number in a multiplication. Squared exponent

a set of facts or figures systematically displayed, especially in columns Table

a number x is another number, which when multiplied by itself a given number of times, equals x. Roots