Answer:
Step-by-step explanation:
"function q has zeros of -3 and 8"
q(x) = a(x+3)(x-8)
"q passes through the y-axis at the point (0,12)"
a(0+3)(0-8) = 12
a = -½
q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12
q'(x) = -x+2.5
-x+2.5 = -1.5
x = 4
rate of change is -1.5 at the point (4,14).
