In each of the, find the equation of the parabola that satisfies the given conditions:

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

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


Since, 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, while the equation of the parabola is of the form y2=4ax.


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


Thus, the equation of the parabola is y2 = 4 × 3 × x,


=> y2 = 12x


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