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) = _

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

Step-by-step 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

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees