Question

Determine the graph of the polar equation r= 4/1 -.5 cos theta.

Answer 1

Choice B is correct

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