Find the equation of the parabola that satisfies the given conditions: Vertex (0, 0); focus (3, 0)

Asked by Pragya Singh | 11 months ago |  65

Solution :-

Vertex (0, 0) and focus (3, 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 y= 4ax.

Since, the focus is (3, 0), a = 3

The equation of the parabola is $$y^2 = 4 × 3 × x$$

y2 = 12x

Answered by Abhisek | 11 months ago

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