Question

PLEASE HELP ASAP! 70 POINTS!

Given the parent function f(x)=|x| , write the equation of the function g(x) whose graph is pictured.

(GRAPH W/ BLACK LINE IS THE PARENT FUNCTION FOR REFERENCE. Graph w/ the orange line is the one that needs an equation)

ANSWER:
g(x) = _____

Answer 1

g(x) = 3|x - 2| - 4

Explanation:

f(x) = |x|

vertex: (0, 0) → (2, -4)

point: (1, 1) → (3, -1)

⇒ g(x) = 3f(x - 2) - 4

⇒ g(x) = 3|x - 2| - 4