2.6 Families of Functions

Question 1

Parent Function

Answer 1

is the simplest function with these characteristics. The equations of the functions in a family resemble each other.

Question 2

Translation

Answer 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.

Question 3

Stretch

Answer 3

a vertical stretch multiplies all y- values by the same factor greater than 1.

Question 4

Shrink

Answer 4

a vertical shrink reduces y-values by a factor between 0 and 1, there by compressing the graph vertically.

Question 5

Reflection

Answer 5

a reflection in the x-axis changes y-values to their opposites, ,when you change the y-values of a graph to their opposites, the graph reflects across the x-axis.

Question 6

Transformation

Answer 6

each member of a family of functions is a transformation, or change, of a parent function.

Question 7

Parameters

Answer 7

algebraically the transformations take the same from using parameters, like h,k, and a.