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Find the equation of the parabola with f...

Find the equation of the parabola with focus at F(3,0) and the directrix x=-3.

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Since the focus on the x-axis. So, x-axis is the axis of the parabola. Focus F(3,0) lies to the right hand side of the orgin. So, it is a right-handed parabola. Let the required equation be `y^(2)=4ax`. The focus is `F(a,0).So, a=3` Hence, the required equation is `y^(2)=12x`.
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