2.6: Families of Functions

Question 1

simplest function with these characteristics. The equations of the functions 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

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

Answer 3

Stretch

Question 4

reduces y-values by 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. When you change the y-values of a graph to their opposites, the graph reflects across the x-axis.

Answer 5

reflection

Question 6

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

Answer 6

Transformation

Question 7

transformations take the same form using ______, like h, k, and a. the results are similar graphically.

Answer 7

Parameter