Given the functions
[tex]\begin{gathered} f\mleft(x\mright)=2x^2 \\ g\mleft(x\mright)=2x^2-3 \end{gathered}[/tex]The graphs of the two functions on the same rectangular coordinate system is attached below.
We observe that the graph of g(x) is a Vertical Downward Shift by 3 units of the graph of f(x).