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Find the equation of the parabola that satisfies the given conditions: Vertex (0,0); focus (-2,0)

10. Find the equation of the parabola that satisfies the given conditions:

       Vertex (0,0); focus (-2,0)

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Given,

 Vertex (0,0) And  focus (-2,0)

As vertex of the parabola is (0,0) and focus lies in the negative X-axis, The parabola will open towards left, And the standard equation of such parabola is 

y^2=-4ax

Here it can be seen that a=2

So, the equation of a parabola is 

\Rightarrow y^2=-4ax\Rightarrow y^2=-4(2)x

\Rightarrow y^2=-8x.

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