Question:

Convert into Vertex form....?

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y = 4x^2 + 7x

i need to show work also

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  1. y = 4x^2 + 7x

    Completing the square for x:

    y = 4[ x^2 + (7 / 4)x ]

    y + 4(7 / 8)^2 = 4[ x^2 + (7 / 4)x + (7 / 8)^2 ]

    = 4( x + (7 / 8))^2

    (x + (7 / 8))^2 = (1 / 4)(y + 49 / 16).

    Vertex (- 7 / 8, - 49 / 16).

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