Answer
The graph for $y=x^2-g$ is shown below.
Work Step by Step
The given equation is $y=x^2-4$.
$X-$ coordinates are $-3,-2,-1,0,1,2,3$.
First find all the corresponding $Y-$ coordinates for the given $X-$ 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.