Respuesta :

Answer:

[tex]g(x)=e^{x-6}[/tex]

Explanation:

Given any function, f(x), if f(x) is shifted by k units to the right, the transformation rule is given as:

[tex]f(x)\to f(x-k)[/tex]

Thus, given f(x) below:

[tex]f(x)=e^x[/tex]

Thus, when f(x) is shifted 6 units to the right, the equation of the new graph will be:

[tex]g(x)=e^{x-6}[/tex]

The last option is correct.

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