Determine the graph of the polar equation r= 4/1 -.5 cos theta.
![Determine the graph of the polar equation r 41 5 cos theta class=](https://us-static.z-dn.net/files/def/fc6ef24cba682ff6f01fc975aef2c4f1.png)
![Determine the graph of the polar equation r 41 5 cos theta class=](https://us-static.z-dn.net/files/d0a/d6a081d6c0c4aa3a99be3aafd619d548.png)
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