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 : 5y 2 = -16x

Philoid · Accepted Answer

Given equation :

5y² = -16x

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Comparing the given equation with parabola having an equation,

y² = - 4ax

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Focus : F(-a,0)

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

Equation of the directrix : x – 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 :5y2 = -16x

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 :
5y² = -16x