Question

9. Vertex (0,0); focus (3,0)

Answer 1

Given, the focus of the parabola is ( 3,0 ) and the vertex of the parabola is (0,0).

Since, the vertex of the parabola is (0,0) and the focus lies on the positive x axis, the equation of the parabola can be given as

y 2 =4ax (1)

Here, the coordinates of focus are ( a,0 ) .

By comparing, we get a=3 .

By substituting the value of a in (1), we get

y 2 =4×3×x =12x

Thus, the equation of parabola with focus (3,0) and vertex (0,0) is y 2 =12x .