Respuesta :

choixongdong

Coefficient of x is less than 0 then it's across the y axis

So f(x)=2^x ---> g(x) = 2^-x

Then translating it up 5 units, should be  g(x) = 2^(-x)  + 5


Answer is the last one

g(x) = 2^(-x) + 5

Answer with explanation:

The given function is

   [tex]f(x)=2^x[/tex]

Reflecting the function across y axis, gives

    [tex]f(x)=2^{-x}[/tex]

Now translating the function by 5 units up,  that is vertical translation,we get,

     [tex]f(x)=2^{-x}+5[/tex]

  Option D:  [tex]g(x)=2^{-x}+5[/tex]

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