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8 April, 13:32

What are the coordinates of the vertex of the graph of the function y = - 3x² - 12x + 3? A. (-2, 29) B. (2, - 15) C. (2, - 9) D. (-2, 15)

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  1. 8 April, 15:47
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    D (-2,15)

    Step-by-step explanation:

    To find the vertex from the standard form of the equation, use the formula x = - b/2a. Then substitute the x value into the equation to find the y value.

    Here a = - 3 and b = - 12.

    So x = - (-12) / 2 (-3) = 12 / - 6 = - 2.

    Substitute x = - 2 and solve for y.

    y = - 3 (-2) ^2 - 12 (-2) + 3

    y = - 3 (4) + 24 + 3

    y = - 12 + 24 + 3

    y = 12 + 3

    y = 15
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