#### Question

Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0) passing through (2, 3) and axis is along *x*-axis

#### Solution

Since the vertex is (0, 0) and the axis of the parabola is the *x*-axis, the equation of the parabola is either of the form *y*^{2} = 4*ax* or *y*^{2} = –4*ax*.

The parabola passes through point (2, 3), which lies in the first quadrant.

Therefore, the equation of the parabola is of the form *y*^{2} = 4*ax*, while point

(2, 3) must satisfy the equation *y*^{2} = 4*ax*.

Is there an error in this question or solution?

Solution Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0) Passing Through (2, 3) and Axis is Along X-axis Concept: Parabola - Standard Equations of Parabola.