Question

Can you help show steps please?

Answer 1

g(x) = -2^(x-3) - 5

Explanation:

f(x) = 2^x

3 units to the right:

2^x ----> 2^(x-3)

Moved 5 units up:

2^(x-3) ----> 2^(x-3) + 5

Reflected across the x-axis:

2^(x-3) + 5 -----> -2^(x-3) - 5