Determine the graph of the polar equation r= 4/1 -.5 cos theta.
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Answer:
Choice B is correct
Step-by-step explanation:
Considering the equation is in standard form, the eccentricity of this conic section is 1/2. This implies that we are looking at ellipses. Alternative A is incorrect since the graph is that of a parabola. Alternative B represents an hyperbola.
From the equation, we can deduce that the ellipse has a directrix at x = -8 thus matching with graph B