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Question

Find the equation of the parabola with vertex at the origin and focus at f(-2,0)


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Solution

Solve for the equation of parabola

It is given that focus of parabola is (-2,0) and vertex is 0,0

General equation of parabola with focus(a,0) and vertex at origin is y2=4ax

Now substitute the value of a=-2

y2=4(-2)x

y2 =-8x

Hence the required equation of parabola with vertex at the origin and focus at(-2,0) is y2=-8x


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