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8 December, 15:40

Find the vertex of the graph y equal x to the power of 2 plus 6 x minus 5

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  1. 8 December, 17:36
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    Hello!

    To find the vertex of a quadratic equation, use the formula x = - b/2a, and substitute that x-value into the original equation and solve for y. Also, for quadratics, the standard form for a quadratic is y = Ax² + Bx + C

    Given equation: y = x² + 6x - 5

    1. Use the formula: x = - b/2a

    x = - 6/2 (1)

    x = - 6/2

    x = - 3

    2. Substitute x = - 3 into the given equation and solve for y

    y = (-3) ² + 6 (-3) - 5

    y = 9 + - 18 - 5

    y = - 9 - 5

    y = - 14

    Therefore, the vertex of the quadratic equation, y = x² + 6x - 5, is (-3, - 14).
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