Question

Graph the given functions, fand g, in the same rectangular coordinate system Select integers for x, starting with-2 and ending with 2, and describe how the graph of g is related to the graph off.f(x)=x?_g(x)=x² - 3

Answer 1

Given

The functions,

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

To complete the ordered pairs for f(x)=x².

Step-by-step explanation:

It is given that,

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

That implies, for x=-2,

`\begin{gathered} f(-2)=(-2)^2 \\ =4 \end{gathered}`

Also, for x=-1.

`\begin{gathered} f(-1)=(-1)^2 \\ =1 \end{gathered}`

For x=0,

`\begin{gathered} f(0)=0^2 \\ =0 \end{gathered}`

For x=1,

`\begin{gathered} f(1)=1^2 \\ =1 \end{gathered}`

For x=2,

`\begin{gathered} f(2)=2^2 \\ =4 \end{gathered}`

Hence, the ordered pairs are,

`\left(-2,4\right),(-1,1),(0,0),(1,1),(1,4).`