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