Answer
See graph and explanations.
Work Step by Step
Step 1. See graph for $f(x)=x^2+2x+c$ for $c=-3,0,1$
Step 2. As $f(x)=x^2+2x+c=(x+1)^2+c-1$, we can see that different $c$ values cause different vertical shifts $(c-1)$ to the curve of $y=(x+1)^2$
