Question:
Find the equation of the parabola with vertex at the origin and focus at F(-2, 0).
Solution:
Vertex : A (0,0)
Given focus $F(-2,0)$ is of the form $F(-a, 0)$
For Vertex $A(0,0)$ and Focus $F(-a, 0)$, equation of parabola is
$y^{2}=-4 a x$
Here, a = 2
Therefore, equation of parabola,
$y^{2}=-8 x$
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