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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 = -8y

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Given equation : x2 = - 8y 

Comparing given equation with parabola having equation, x2 = - 4ay 

4a = 8 

• a = 2 

Focus : F(0,-a) = F(0,-2) 

Vertex : A(0,0) = A(0,0) 

Equation of the directrix : y - a=0 

• y - 2=0 

• y = 2 

Lenth of latusrectum : 4a = 8

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