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1 April, 09:00

Write the equation of the parabola with a vertex at (-3,-10) and y-intercept of (0,-1)

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  1. 1 April, 09:28
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    y = (x + 3) ^2 - 10.

    Step-by-step explanation:

    Vertex form is

    y = a (x - b) ^2 + c

    Here b = - 3 and c = - 10 so we have

    y = a (x + 3) ^2 - 10 where a is some constant.

    The y intercept is (0, - 1) so substituting:

    -1 = a * 3^2 - 10

    -1 + 10 = 9a

    9a = 9

    a = 1

    So the required parabola is (x + 3) ^2 - 10.
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