Question

How do you graph `r=6+2sintheta`?

Answer 1

y=6+2sinx

Explanation:

since sinx `in [-1,1]` so check y using these extremes.
at sinx=-1, y=4
at sinx=+1, y=8
at sinx=0, y =6
this means as you draw the normal curve of f(x)= sinx, in the same graph drag the mean line of sine from x=0 to x=6.
also, here amplitude of the wave is 2 as given. so, the curve is as shown: graph{6+2sinx [-22.5, 22.5, -11.72, 11.72]}