Home Forums Math Which equation is y = 9x^2 + 9x – 1 rewritten in vertex form? Reply To: Which equation is y = 9x^2 + 9x – 1 rewritten in vertex form?

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shilpav
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    The vertex form of a parabolic function has the general formula:

    f(x) = a(x-h)^2 + k where (h,k) represent the vertex of the parabola.

    Therefore, to write the given equation in vertex form, we will need to transform it to the above formula as follows:

    y = 9x^2 + 9x – 1

    y = 9(x^2 + x) – 1

    y = 9(x^2 + x + 1/4 – 1/4)-1

    y = 9((x+1/2)^2 – 1/4)-1

    y = 9(x + 1/2)^2 – 9/4 – 1

    y = 9(x + 1/2)^2 – 13/4 ————-> The equation in vertex form

    If you need the vertex of the parabola, it will simply be (-1/2, -13/4)

    • This reply was modified 2 years, 9 months ago by ProtonsTalk.
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