Question

Find the equation of the parabola that satisfies the following conditions: Vertex , focus

Easy

Solution

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Vertex ; focus
Since, the vertex of the parabola is and the focus lies on the negative -axis . So, -axis is the axis of the parabola .
Equation of the parabola is of the form
Since, the focus is . So,
Thus, the equation of the parabola is

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