Question

If you apply the changes below to the absolute value parent function, f(x) = (x,

what is the equation of the new function?

Shift 4 units left.

Shift 2 units up.

A. g(x) = \x - 41 + 2

B. g(x) = x + 21 - 4

C. g(x) = [X + 4 + 2

D. g(x) = x + 2 + 4

Answer 1

C) g(x) = |x+4|+2

The new function g(x) = |x+4|+2

Explanation:

Given that the parent function f(x) = |x|

The function shifts '4' units left then the function transformed to

g(x) = |x+4|

Again the function shift '2' units up then the function transformed to

g(x) = |x+4|+2

Final answer:-

The new function g(x) = |x+4|+2