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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

Sagot :

Given

The functions,

[tex]\begin{gathered} f(x)=x^2 \\ g(x)=x^2-3 \end{gathered}[/tex]

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

Explanation:

It is given that,

[tex]\begin{gathered} f(x)=x^2 \\ g(x)=x^2-3 \end{gathered}[/tex]

That implies, for x=-2,

[tex]\begin{gathered} f(-2)=(-2)^2 \\ =4 \end{gathered}[/tex]

Also, for x=-1.

[tex]\begin{gathered} f(-1)=(-1)^2 \\ =1 \end{gathered}[/tex]

For x=0,

[tex]\begin{gathered} f(0)=0^2 \\ =0 \end{gathered}[/tex]

For x=1,

[tex]\begin{gathered} f(1)=1^2 \\ =1 \end{gathered}[/tex]

For x=2,

[tex]\begin{gathered} f(2)=2^2 \\ =4 \end{gathered}[/tex]

Hence, the ordered pairs are,

[tex]\left(-2,4\right),(-1,1),(0,0),(1,1),(1,4).[/tex]

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