A change in the location or specific shape of a parent function, without changing its general shape
Transformation
The x-values for which f(x)=o
Roots
The midpoint of the major axis of an ellipse or transverse axis of a hyperbola.
Center of a conic
When the plane passes through the apex of the cone, one of three possible degenerate cases will occur (a straight line, a point, or a pair of intersecting lines).
Degenerate
A transformation in which a graph or geometric figure is moved to another location without any change in size or orientation
Translation
A method used to eliminate one of the variables by replacement when solving a system of equations.
Substitution
A matrix with equal numbers of rows and columns.
square matrix
A triangle that has a right (90°) interior angle.
Right triangle
A line segment connecting the center of a circle or sphere with a point on the circle or sphere. The word radius also refers to the length of this segment.
An equation relating the lengths of the sides of a right triangle. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
Pythagorean Theorem
Any line with a positive or negative slope.
Oblique line
A system of equations in which no equation is a linear combination of the others.
Independent
A system of linear equations with no solution.
Inconsistent
The set of values of the independent variable(s) for which a function or relation is defined. Typically for functions, this is the set of x-values that give rise to real y-values.
Domain
A function operation symbolized (f o g)(x) that is equivalent to f (g(x)) .
Composition
A relation which assigns a correspondence from the elements of the range to those of the domain. The inverse of a function or relation can be found by interchanging the variables in the function or relation.
inverse
A rule that associates the elements of one set with those of another set. A relation can also be thought of as all of the ordered pairs which satisfy the rule.
relation
A line that a curve approaches, as it heads towards infinity.
Asymptote
if the graph of f is symmetric with respect to the y-axis.
even
A function that has an inverse.
invertible
The name for the graph of the reciprocal function.
hyperbola
line of a curve is a line that (locally) intersects two points on the curve..
secant
A corner or a point where lines meet. "Highest point"
vertex
also known as the axis of symmetry.
axis
irreducible over the reals.
prime