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Veseljchak [2.6K]
3 years ago
14

What function transforms the graph of the parent function f(x)=2^x by reflecting it across the y axis and translating it up 5 un

its?

Mathematics
2 answers:
Semmy [17]3 years ago
8 0

Answer with explanation:

The given function is

   f(x)=2^x

Reflecting the function across y axis, gives

    f(x)=2^{-x}

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

     f(x)=2^{-x}+5

  Option D:  g(x)=2^{-x}+5

babunello [35]3 years ago
6 0

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

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