2.6: Families of Functions

Question 1

Parent Function

Answer 1

the simplest function with these characteristics. the equations of the functions resemble each other. so do the graphs.

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

Question 5

reflection

Answer 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.

Question 6

transformation

Answer 6

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

Question 7

parameter

Answer 7

transformations take the same form using _____, like h, k, and a.