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 : 3x 2 = -16y

Philoid · Accepted Answer

Given equation :

3x² = -16y

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Comparing the given equation with parabola having an equation,

x² = 4ay

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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 :

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 :3x2 = -16y

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 :
3x² = -16y