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24 June, 05:42

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)

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  1. 24 June, 05:55
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    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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