The steps in writing f(x)=18x+3×2 in vertex form are shown, but a value is missing in the last step. Write the function in stand

Question

The steps in writing f(x)=18x+3×2 in vertex form are shown, but a value is missing in the last step.

Write the function in standard form.
Factor a out of the first two terms. f(x)=3(x2+6x)

Form a perfect square trinomial. (six-halves) squared

f(x)=3(x2+6x+9)−3(9)

Write the trinomial as a binomial squared. f(x)=3(x+___)2−27

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1 week 2021-09-13T12:52:09+00:00 1 Answer 0

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    2021-09-13T12:53:21+00:00

    Answer:

    f(x)=3(x+3)^{2}-27

    Step-by-step explanation:

    we have

    f(x)=18x+3x^{2}

    Write the function in standard form

    f(x)=3x^{2}+18x

    Factor 3 out of the first two terms

    f(x)=3(x^{2}+6x)

    Form a perfect square trinomial. (six-halves) squared

    f(x)=3(x^{2}+6x+9)-3(9)

    f(x)=3(x^{2}+6x+9)-27

    Write the trinomial as a binomial squared

    f(x)=3(x+3)^{2}-27

    therefore

    The vertex is the point (-3,-27)

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