Question

The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?

h(x) = x2 – 13x – 30
h(x) = x2 – 7x – 30
h(x) = 2x2 + 26x – 60
h(x) = 2x2 + 14x – 60

Answer 1

h(x) = 2x2 + 14x – 60 (D)

Explanation:

Answer 2

I think the correct answer from the choices listed above is the last option. To determine the answer, we substitute 3 and 10 to each choice and see whether the answer would equate to 0 for both values of x. We do as follows:


h(x) = x^2 – 13x – 30
h(3) = 3^2 – 13(3)– 30 = -60 <----------NOT ANSWER

h(x) = x2 – 7x – 30
h(3) = 3^2 – 7(3) – 30 = -42<----------NOT ANSWER

h(x) = 2x2 + 26x – 60
h(3) = 2(3)^2 + 26(3)– 60 = 36<----------NOT ANSWER


h(x) = 2x2 + 14x – 60
h(3) = 2(3)^2 + 14(3) – 60 = 0
h(-10) = 2(-10)^2 + 14(-10) – 60 = 0