Determine, without​ graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value. f(x

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Determine, without​ graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value.
f(x)=6x^2+12x

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  1. Answer:

    (-1, -6)

    Step-by-step explanation:

    This a term in this function is not negative, which would make it be flipped over the x-axis. Therefore this function takes the typical parabola shape, and it will have a minimum point.

    To find the x-value of the minimum use the formula -b / 2a.

    -12 / 2(6) = -1

    Then plug in the x-value and find the y-value for this function

    f(-1) = 6(-1)^2 + 12(-1) = -6

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