Q

# 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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