2.6 : Families of Functions

Question 1

parent function

Answer 1

the 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, compressing the graph vertically.

Question 5

reflection

Answer 5

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

Question 6

transformation

Answer 6

each member of a family of functions

Question 7

parameters

Answer 7

graphic results are like shifts, stretches, shrinks, and reflections of the parent function.