$\"\"$

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Consider the parabola opening upwards.

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Assume its focus is located at the origin.

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Its directrix is located at the left at $\"\"$ .

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Let us consider $\"\"$ is a point on the curve.

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$\"\"$

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Distance between focus at origin and the point $\"\"$ is $\"\"$ .

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Distance between $\"\"$ and $\"\"$ is $\"\"$ .

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Definition of eccentricity : $\"\"$ .

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$\"\"$ .

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$\"\"$

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The equation is $\"\"$ .

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Convert the equation into polar form.

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Substitute $\"\"$ and $\"\"$ in the equation.

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$\"\"$

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Therefore the polar equation of parabola with vertical directrix as $\"\"$ is $\"\"$ .

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$\"\"$

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The polar equation of parabola with vertical directrix as $\"\"$ is $\"\"$ .