Question

How do you graph `r=6+6costheta`?

Answer 1

graph{6+6cos x [-14.13, 14.36, -1.17, 15]}

Explanation:

Hopefully you know what the graph of `y=cos theta` looks like:
graph{cos x [-14.13, 14.36, -7.17, 7.05]}

The the graph of `y=6cos theta` is that graph stretched along Oy by factor 6:
graph{6cos x [-14.13, 14.36, -7.17, 7.05]}

Finally, the graph of `y=6+6cos theta` is that graphed moved up alonmg Oy 6 units
graph{6+6cos x [-14.13, 14.36, -1.17, 15]}