2.6 Families of Functions

Question 1

The equations of the function in a family resemble each other. So do the graphs.

Answer 1

Parent function

Question 2

Shifts a graph horizontally, vertically, or both. It results in a graph of the same shape and size but possibly in a different position.

Answer 2

Translation

Question 3

A vertical _ multiplies all y-values by the same factor greater than 1, thereby stretching a graph vertically.

Answer 3

Stretch

Question 4

A vertical _ reduces y-values by the a factor between 0 and 1, thereby compressing the graph vertically

Answer 4

Shrink

Question 5

In the x-axis changes y-values to their opposites

Answer 5

Reflection

Question 6

Each member of a parent function is _ of a parent function.

Answer 6

Transformation

Question 7

Like h, k, a

Answer 7

Parameters