Question

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 units?

Answer 1

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:  $g(x)=2^{-x}+5$

Answer 2

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