2.6: Families of Functions

Question 1

Parent Function

Answer 1

Simplest function with these characteristics.

Question 2

Translation

Answer 2

Shifts a graph horizontally, vertically, or both.

Question 3

Stretch

Answer 3

Multiplies all y-values by the same factor greater than 1, thereby stretching a graph vertically.

Question 4

Shrink

Answer 4

Reduces y-values by a factor between 0 and 1, thereby compressing the graph vertically.

Question 5

Reflection

Answer 5

The x-axis changes y-values to their opposites.

Question 6

Transformation

Answer 6

Change, of a parent function.

Question 7

Parameters

Answer 7

Take the same form like h, k, and a. The results are similar.