Answer:
- g(x) = - x + 1
Step-by-step explanation:
Lets get the equation for the graphed function
<u>Using two points: </u>
- (0, -6) and (3, 0)
Y-intercept is known, it is -6 as per the first point
<u>Slope is:</u>
- m = (y2 - y1)/(x2 - x1)
- m = (0+6)/(3-0) = 6/3= 2
<u>So the function f is:</u>
- f(x) = 2x - 6
<u>g(x) is going to be</u>
- g(x) = -1/2f(x + 2) = -1/2 (2(x+2) - 6) = -1/2(2x + 4 - 6) = -1/2(2x - 2) = - x + 1
So
- g(x) = -x + 1
<em>The graph is attached</em>
