What is the equation of a parabola, whose vertex is $(0, 0)$ $(0,0)$ and directrix is $x = - 3$ $x=-3$ ?

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Answer 1 · 2018-02-01T16:37:39

Equation of parabola is $y^{2} = 12 x$ $y^2=12x$

As directrix is $x = - 3$ $x=-3$ and vertex is $(0, 0)$ $(0,0)$ , the equation is of type $y^{2} = 4 a x$ $y^2=4ax$

In such an equation of parabola, directrix is $x = - a$ $x=-a$ . Hence $a = 3$ $a=3$ and equation of parabola is $y^{2} = 12 x$ $y^2=12x$

What is the equation of a parabola, whose vertex is (0,0)(0,0) and directrix is x=−3x=-3?