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16 May, 06:54

Find the x-intercept of parabola with the vertex (-7,45) and y-intercept (0,-200). Write your answer in this form (x, y), (x, y)

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  1. 16 May, 07:36
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    The equation of the parabola would be

    y = a (x + 7) ^2 + 45 where a is some conatant

    when x = 0 y = - 200 so:-

    -200 = a*7^2 + 45

    a = - 200 - 45 / 49 = - 5

    so the equation of the parabola is y = - 5 (x + 7) ^2 + 45

    Solving for x intercepts:-

    (x+7) ^2 = - 45/-5 = 9

    x + 7 = + / - 3

    x = - 10, - 4

    x intercepts at (-10,0) and (-4,0) Answer
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