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Question 10.5.3: Finding the polar equation of a conic Find the equation of t...

Finding the polar equation of a conic

Find the equation of the conic that has its focus at the pole, directrix x = 3, and eccentricity 1. Graph it with a graphing calculator.

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From the previous theorem we have e = 1, p = 3, and r=\frac{3}{1+\cos \theta} . The conic is a parabola opening to the left. To graph the conic, we use a graphing calculator that graphs in polar coordinates, as shown in Fig. 10.52.

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