2.6: Families of Functions

Question 1

Parent Function

Answer 1

A______is the simplest function with these characteristics.

Question 2

Translation

Answer 2

A______shifts a graph horizontally, vertically, or both.

Question 3

Stretch

Answer 3

A vertical______multiplies all y-values by the same factor greater that 1, thereby stretching a graph vertically.

Question 4

Shrink

Answer 4

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

Question 5

Reflection

Answer 5

A______in the x-axis changes y-values to their opposites.

Question 6

Tranformation

Answer 6

Each member of a family of functions is a______, or change, of a parent function.

Question 7

Parameters

Answer 7

Algebraically, the transformation take the same form using______, like h, k, and a.