Question

what is the y-intercept of function g if $g(x) = -4f(x) + 12$?

a. $(0,8)$

b. $(0,-4)$

c. $(0,1)$

d. $(0,12)$

Explanation:

Step1: Find y-intercept of $f(x)$

From the graph, $f(0) = 1$

Step2: Substitute $f(0)$ into $g(x)$

Substitute $x=0$ into $g(x)=-4f(x)+12$:
$g(0) = -4f(0) + 12 = -4(1) + 12$

Step3: Calculate $g(0)$

$g(0) = -4 + 12 = 8$

Answer:

A. $(0, 8)$