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

Question

3138 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-01T16:37:39

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

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

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

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