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

Here we know that the coefficient of x is negative.

So, the parabola open towards the left.

On comparing this equation with y^{2} = -4ax, we get,

-4a = -8

a = \( \dfrac{-8}{-4}\) = 2

Thus, co-ordinates of the focus = (-a,0) = (-2, 0)

Since, the given equation involves y^{2}, the axis of the parabola is the x-axis.

Equation of directrix, x =a, then,

x = 2

Length of latus rectum = 4a

= 4 (2) = 8

Answered by Abhisek | 1 year agoAn equilateral triangle is inscribed in the parabola y^{2} = 4ax, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

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