17 terms

Compressed

A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.

Even function

If you end up with the exact same function that you started with (all of the signs are the same), then the function is even

Transformation form

y=x^2

Odd function

If you end up with the exact opposite of what you started with (all of the signs are switched), then the function is odd

Vertical shift

When the graph moves vertically (up or down) based on what happens to the y-value of the graph.

Factored form

The form of an algebraic expression in which no part of the expression can be made simpler by pulling out a common factor

Function

a relationship or expression involving one or more variables

(h,k)

The vertex of the parabola

Vertex form

f (x) = a(x - h)2 + k

Range

The difference between the lowest and highest values/the output values of a function

Vertex

A corner/point where lines meet

Domain

The set of values of the independent variable(s) for which a function or relation is defined

Horizontal shift

shifting the base graph left or right in the direction of the x-axis

Parent graph

the simplest function of a family of functions

Reflection

A transformation in which the graph is reflected across a line, creating a mirror image

Stretch

multiply the output by a constant.

Standard form (quadratic function)

f (x) = ax2 + bx + c