2.6 - Families of functions

Question 1

parent function

Answer 1

simplest function with these characteristics. The equations of the functions in a family resemble each other. So do the graphs. Offspring of parent functions includ translation, stretches, and shrinks.

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

(vertical) stretch

Answer 3

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

Question 4

(vertical) shrink

Answer 4

reduces 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.

Question 6

transformation

Answer 6

Each member of a family of functions or change, of a parent funtion

Question 7

parameters

Answer 7

h,k, and a. Graphically, the results are similar-shifts, stretches, shrinks, and reflections of the parent function.