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please help!! What is the vertex of the graph of the function below?
y = x2 + 8x + 12
A. (-4, 0)
B. (-2, -4)
C. (-4, -4)
D. (-2, 0)

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  • MrsStrong


    Answer:

    C

    Step-by-step explanation:

    To find the vertex, find the value -b/2a for the x value and then substitute it to find the y value of the vertex.

    Here the equation y = x2 + 8x + 12 has a = 1, b = 8 and c = 12.

    So -b/2a = -8/2(1) = -8/2 = -4.

    Substitute f(-4) = (-4)^2 + 8(-4) + 12 = 16 + -32 + 12 = -4.

    The vertex is (-4,-4).