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# Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0) Focus (–2, 0) - CBSE (Arts) Class 11 - Mathematics

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ConceptParabola Standard Equations of Parabola

#### Question

Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0) focus (–2, 0)

#### Solution

Vertex (0, 0) focus (–2, 0)

Since the vertex of the parabola is (0, 0) and the focus lies on the negative 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 (–2, 0), a = 2.

Thus, the equation of the parabola is y2 = –4(2)x, i.e., y2 = –8x

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#### APPEARS IN

Solution Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0) Focus (–2, 0) Concept: Parabola - Standard Equations of Parabola.
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