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Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0) Passing Through (2, 3) and Axis is Along X-axis - CBSE (Arts) Class 11 - Mathematics

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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 y2 = 4ax or y2 = –4ax.

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

Therefore, the equation of the parabola is of the form y2 = 4ax, while point

(2, 3) must satisfy the equation y2 = 4ax.

  Is there an error in this question or solution?

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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.
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