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9 August, 22:27

The focus of the parabola - 40x = y 2 is: (-10, 0) (10, 0) (0, 10) (0, - 10)

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  1. 9 August, 22:30
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    (-10, 0)

    Step-by-step explanation:

    The parabola opens to the left, and its vertex is at (0, 0). The focus must have an x-coordinate that is negative. The only viable choice is ...

    (-10, 0)

    __

    The equation is in the form ...

    4px = y^2

    where p is the distance from the vertex to the focus.

    In the given equation, 4p = - 40, so p=-10, and the focus is 10 units to the left of the vertex. In this equation, the vertex corresponds to the values of the variables where the squared term is zero: (x, y) = (0, 0).
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