Families of Functions Flashcards
1
Q
Parent Function
A
The simplest function with these characteristics.
2
Q
Translation
A
shifts a graph horizontally, vertically, or both.
3
Q
Stretch
A
multiplies all y-values by the same factor greater than 1, thereby stretching a graph vertically.
4
Q
Shrink
A
reduces y-values by a factor between 0 and 1, thereby compressing the graph vertically.
5
Q
Reflection
A
the x-axis changes y-values to their opposites.
6
Q
Transformation
A
Each member of a family of functions is a transformation, or change, of a parent function.
7
Q
Parameters
A
Algebraically, the transformations take the same form using parameters, like h, k, and a.