BrydenO666743 BrydenO666743
  • 30-10-2022
  • Mathematics
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The graph of F(x), shown below, has the same shape as the graph of G(x) = x3 - x2, but it is shifted to the left 2 units. What is its equation?

The graph of Fx shown below has the same shape as the graph of Gx x3 x2 but it is shifted to the left 2 units What is its equation class=

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DamyahL777164 DamyahL777164
  • 30-10-2022
[tex]G(x)=x^3-x^2[/tex]

To move a graph to the left or to the right you use the next formula:

[tex]\begin{gathered} f(x)=x \\ f(x-c)=x-c\text{ (Right)} \\ f(x+c)=x+c\text{ (Left)} \end{gathered}[/tex]

c is the units the graph is moved.

Then, f(x) is:

[tex]F(x)=(x+2)^3-(x+2)^2[/tex]

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