Answer
The graph for $y=x^2+2$ is shown below.
Work Step by Step
The given equation is $y=x^2+2$.
Let the $X−$ coordinates be $−3,−2,−1,0,1,2,3$.
First find all the corresponding $Y−$ coordinates for the $X−$ coordinates.
All the calculations are shown below in the image file.
Now plot theses seven points $A,B,C,D,E,F$ and $G$ and join them with a smooth curve.
End points of the curve are shown with the arrow which represents that it extends indefinitely in both directions.