Find the equation of the parabola that satisfies the given conditions Vertex (0, 0); focus (–2, 0)

Asked by Sakshi | 2 years ago |  92

Solution :-

Given:

Vertex (0, 0) and focus (-2, 0)

We know that the vertex of the parabola is (0, 0) and the focus lies on the positive x-axis. [x-axis is the axis of the parabola.]

The equation of the parabola is of the form y2=-4ax.

Since, the focus is (-2, 0), a = 2

The equation of the parabola is y2 = -4 × 2 × x,

y2 = -8x

Answered by Aaryan | 2 years ago

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