For the following parabolas find the coordinates of the foci, the equations of the directrices and the lengths of the latus rectum: `y^2=8x`

Explanation

From the question we can get,


Equation of the parabola `y^{2}=-4 a x`


Since the coefficient of `x` is negative the curve is open towards left.


Coordinates of focus is `(-a, 0)`


Length of the latus rectum is `4 a`.


Equation of directrix is `x-a=0`


The given equation is `y^{2}=-8 x`


Comparing this equation with `y^{2}=-4 ax`


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