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

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step-by-step explanation:

207/8 is the right