What is the vertex of the graph of this equation y=2x^2+8x-24

A. (2,32)

B. (-2,32)

C. (2,-32)

D. (-2,-32)

The vertex would be D) (-2, - 32)

Step-by-step explanation:

To find the vertex, start by find the x-value. For this we can use the equation below.

x = - b/2a

In which a is the coefficient of x^2 and b is the coefficient of x.

x = - b/2a

x = - (8) / 2 (2)

x = - 8/4

x = - 2

Now that we have x, we find y by plugging - 2 in for each x.

y = 2x^2 + 8x - 24

y = 2 (-2) ^2 + 8 (-2) - 24

y = 2 (4) - 16 - 24

y = 8 - 16 - 24

y = - 32