True of False? The equation of a parabola with its vertex at the origin and its directrix y = 7/4, is the equation x^2= -7y.

Answer 1

The given equation is in the form of x²=4ay where the directrix is y=-a.

If we assume the directrix is y=7/4, then a=-7/4, so the equation should be x²=4(-7/4)y --> x²=-7y

Since the above equation matches the given equation in the problem, the answer is true.

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