Question

What are the values of d, e, and f?

Answer 1

Answer:

B

Step-by-step explanation:

The given equation y = 2x^2 -12x - 32 can be factored as follows:

y = 2(x^2 - 6x - 16) = 2(x - 8)(x + 2).  Then its roots are x = -2 and x = 8.

Since d > e and 8 > -2, we conclude that d = 8 and e = -2.

We need to find the minimum of y = 2x^2 -12x - 32.

We can do this by finding the vertex:                  b

The equation of the axis of symmetry is x = - ----------

                                                                                2a

                                 -12

which here is x = - --------- = 3

                                 2(2)

so f = 3.

Answer choice B is correct.