Answer
(a) Using the viewing rectangle $[-1,1]$ by $[0,2],$ the screen will display nothing as the minimum value of $y=3+x^{2}$ is $y=3$.
(b) Using the viewing rectangle $[0,1]$ by $[0,4],$ the screen will display the portion of the parabola between the points $(0,3)$ and $(1,4)$.
Work Step by Step
We see that changing the viewing window can dramatically alter what the graph looks like.