Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

Question

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola : x 2 = -18y

Philoid · Accepted Answer

Given equation : x² = - 18y

Comparing given equation with parabola having equation,

x² = - 4ay

4a = 18

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Focus : F(0,-a)

Vertex : A(0,0) = A(0,0)

Equation of the directrix : y - a=0

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Lenth of latusrectum : 4a = 18

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :x2 = -18y

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :
x² = -18y