The equation of the parabola with vertex at (0, 0) and focus at (0, – 2) is:

y² = – 2x

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x² = – 8y

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x² = – 4y

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y² = – 8x

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Solution

The correct option is B
x² = – 8y

Since the vertex is at (0, 0) and the focus is at (0, – 2) which lies on Y-axis, the Y-axis is the axis of the parabola. Therefore, equation of the parabola is of the form x² = 4ay.

Thus, we have x² = 4(– 2)y, i.e., x² = – 8y.

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