Question

HELP!!! 30 POINTS!!! URGENT!!!

Which 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?


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

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

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

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

Answer 1

I believe this one is C but none of the equations seemed to work for me when I imputes them into a graphing calculator. Not sure what I did wrong or if maybe the question is wrong. Hope this helps!

Answer 2

The answer is D:

`g(x) = 2^( - x) + 5`
Step-by-step explanation

The negative in the exponent x reflects the graph across the y-axis and adding the constant 5 moves the graph 5 units up.

Attached is the new graph of the function.