Algebra ll vocabulary list #4

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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