Question

31) Given the parent function f(x) = |x|, describe the translation of the function g(x) = 2|x] + 9 from the parent function.​

Answer 1

the graph is shifted up 9, compressed by a factor of 2

Explanation:

General form of an absolute value equation:

f(x)= a|x - h| + k

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h tell us how far the graph shifts horizontally and vertically.

parent function f(x) = |x|,

the translation of the function g(x) = 2|x| + 9 from the parent function.

- the +9 shift the graph up 9

- the 2 compresses the graph