2.5: Families of functions

Question 1

Transformation

Answer 1

Each member of a family of functions or change of a parent function.

Question 2

Parameters

Answer 2

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

Question 3

Stretch

Answer 3

multiplies all y values by the same factor greater than 1.

Question 4

shrink

Answer 4

reduces y values by a factor between 0 and 1

Question 5

Reflection

Answer 5

in the x axis changes y values to their opposites.

Question 6

Parent function

Answer 6

Simplest function with these characteristics; The equations of the functions in a family resemble each other, as well as the graphs. Offspring of the parent functions include translations, stretches, and shrinks.

Question 7

translation

Answer 7

Shifts a graph horizontally, vetically, or both.