Answer:
f(x) = x² - x - 6
Explanation:
You have the coordinates of the x intercepts and one other point, so you can find the equation of the graph.
(-2, 0) and (3, 0) are the x-intercepts
The x roots of the quadratic equation therefore are: 2, -3
f(x) = C(x+2)(x-3) find the constant C by plugging in the coordinates of the third point, (0, -6)
-6 = C(0+2)(0-3)
-6 = C(-6)
C = -6/-6 = 1
f(x) = (x+2)(x-3) = x² - x - 6