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

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

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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

NCERT Class 11 Mathematics Textbook
Chapter 11 Conic Sections
Q 10 | Page 247
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