#### Question

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

#### Solution

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 *y*^{2} = 4*ax*.

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

Thus, the equation of the parabola is *y*^{2} = 4 × 3 × *x*, i.e., *y*^{2} = 12*x*

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Solution Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0); Focus (3, 0) Concept: Parabola - Standard Equations of Parabola.