Q:

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

Accepted Solution

A:
Answer:BStep-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:                  bThe equation of the axis of symmetry is x = - ----------                                                                                 2a                                  -12which here is x = - --------- = 3                                  2(2)so f = 3.Answer choice B is correct.