Question

Graph the given function on the same rectangular coordinate system. describe how the graph of g is related to the graph of f.
`f(x) = 2x ^(2) \: g(x) = 2x ^(2) - 3`

Answer 1

Given the functions

`\begin{gathered} f\mleft(x\mright)=2x^2 \\ g\mleft(x\mright)=2x^2-3 \end{gathered}`

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).