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?
Answer
A
6 = a(10 – 4)(10 + 2)
B
6 = a(10 + 4)(10 – 2)
C
10 = a(6 – 4)(6 + 2)
D
10 = a(6 + 4)(6 – 2)
Explanation
A parabola with zeros −4 and 2 has factored form y = a(x + 4)(x − 2). Substituting the point (6, 10) gives 10 = a(6 + 4)(6 − 2), which is choice D.
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