Answer
Again, r is never negative because
r = 1 + sin θ
is always between 0 and 2.
Find the value of r at some nice angles.
This gives us some points to start from.
Now we need to figure out what's going on in between these points. Remember that r is never negative.
From θ = 0 to 
, the value of r will move from 1 to 2.
From to θ = π, the value of r will move from 2 to 1.
From θ = π to 
, the value of r will move from 1 to 0.
From to θ = 2π, the value of r will move from 0 to 1.
Again, we end with a heart shape that looks nothing like the graph
r = sin θ.
The moral is that adding constants does weird things to a polar graph.
for 0 ≤ θ ≤ 4π.