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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x2 = –9y

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The given equation is x2 = –9y. Here, the coefficient of y is negative. Hence, the parabola opens downwards. On comparing this equation with x2 = –4ay, we obtain ∴Coordinates of the focus = Since the given equation involves x2, the axis of the parabola is the y-axis. Equation of directrix, Length...
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The given equation is x2 = –9y.

Here, the coefficient of y is negative. Hence, the parabola opens downwards.

On comparing this equation with x2 = –4ay, we obtain

∴Coordinates of the focus =

Since the given equation involves x2, the axis of the parabola is the y-axis.

Equation of directrix,

Length of latus rectum = 4a = 9

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