Answer
Graph (b).
Work Step by Step
We need to find the anti-derivative for $\dfrac{dy}{dx}=2x$
Thus, we have $y=x^2+C$
Plug in: $x=1,y=4$ into the above equation to solve for $C$.
we get $C=3$
Thus, $y=x^2+3$; which shows graph (b).