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What was the equation of the graph below before it was shifted to the right 1unit? G(x)= (x-1.5)^3 - (x-1.5)

Sagot :

If graph of the function y=f(x) was shifted to the right 1 unit,

then you got new function y=f(x-1).

Given function :

[tex]\begin{gathered} g(x)=(x-1.5)^3-(x-1.5) \\ \text{ Since the graph is shifted to right 1, thus x}\Rightarrow x+1 \\ g(x+1)=(x+1-1.5)^3-(x+1-1.5) \\ g(x+1)=(x-0.5)^3-(x-0.5) \end{gathered}[/tex]

SO, the equation of graph will be when is shifte right 1

is

[tex]g(x+1)=(x-0.5)^3-(x-0.5)[/tex]

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