Answer:
g(x) = 2ˣ ⁻ ⁵ + 3
Explanation:
When doing transformations, any time you are going left and right, you do on the inside. It also has to be the opposite sign. That's why we do - 5 with the x.
Translating horizontally deals with changes along the x-axis. That's why it affects the x.
Any time it's on the outside, we go up and down. Aka the + 3.