Respuesta :

If the function f(x) is translated h units right and k units up, then its image will be

[tex]f^{\prime}(x)=f(x-h)+k[/tex]

Since the parent function is

[tex]g(x)=\frac{3}{x}[/tex]

Since the function after translation is

[tex]g(x)=\frac{3}{x-4}+5[/tex]

Then x is changed to x - 4 (x - h)

The function added by 5 ( k = 5)

That means the graph of g(x) = 3/x is translated

4 units right and 5 units up

Then the answer should be

It is a translation of g(x) = 3/x, 4 units right and 5 units up

The last choice

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