Question

10. Vertex (0,0); focus (-2,0)

Answer 1

Given, the focus of parabola is ( −2,0 ) and vertex is ( 0,0 )

Since the vertex of the parabola is (0,0) and the focus lies on the negative x axis, the equation of the parabola is,

y 2 =−4ax (1)

Coordinates of focus is given by,

( −a,0 )

On comparing above coordinates with ( −2,0 ) we get a=2 .

Substitute value of a in (1).

Equation of parabola is y 2 =−4×2×x =−8x

Thus, the equation of the parabola with focus (−2,0) and vertex (0,0) is y 2 =−8x