Question

r=2+2cos(theta)

Answer 1

I identified the the Polar Equation to be:
r=2+2cos(<Z>T<z>)

A cardioid is a special type of limacon where a=b. A limacon is a curve with the equation r=a+bsin(<Z>T<z>) , where a$0,b$0.
Cardioid: a=2, b=2

Answer 2

And, r=2+2cos(theta) will look like the following: