2.6: Families of Functions

Question 1

a __ is the simplest function with these characteristics

Answer 1

parent function

Question 2

a __ shifts a graph horizontally, vertically, or both

Answer 2

translation

Question 3

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

Answer 3

stretch

Question 4

a __ in the x-axis changes y-values to their opposites, the graph reflects across the x-axis

Answer 4

reflection

Question 5

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

Answer 5

transformation

Question 6

algebraically, transformations take the same form using __ like h,k and a

Answer 6

parameters

Question 7

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

Answer 7

shrink