Question

The zeros of a parabola are –4 and 2, and (6, 10) is a point on the graph. Which equation can be solved to determine the value of a in the equation of the parabola?

6 = a(10 – 4)(10 + 2)
6 = a(10 + 4)(10 – 2)
10 = a(6 – 4)(6 + 2)
10 = a(6 + 4)(6 – 2)

Answer 1

If the zeros are -4 and 2, the parabola is y = a(x + 4)(x − 2). Substitute the point (6, 10):

10 = a(6 + 4)(6 − 2).

So the correct equation is: 10 = a(6 + 4)(6 − 2).