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The graphs below have the same shape. What is the equation of the blue graph? Picture below

The graphs below have the same shape What is the equation of the blue graph Picture below class=

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check the picture below.
Ver imagen jdoe0001
calculista

we have that

[tex]f(x)=x^{3}[/tex]

we know that

[tex]A(0,0)-------> A'(3,0)[/tex]

the rule of the translation is

[tex](x,y)-----> (x+3,y)[/tex]

that means

the translation is [tex]3[/tex] units to the right

so

the equation of g(x) is

[tex]g(x)=(x-h)^{3}[/tex]

where

[tex]h=3\ units[/tex]

substitute

[tex]g(x)=(x-3)^{3}[/tex]

therefore

the answer is

[tex]g(x)=(x-3)^{3}[/tex]


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