Answer :
The equation of the transformed function g(x) from function f(x) is g(x) = -2^(x - 3) - 5
How to determine the transformed function?
The equation of the function f(x) is given as:
f(x) = 2^x
When translated 3 units to the right, the function becomes
f(x - 3) = 2^(x - 3)
When translated 5 units up, the function becomes
f(x - 3) + 5 = 2^(x - 3)+ 5
When reflected across the x-axis, the function becomes
g(x) = -[f(x - 3) + 5]
So, we have:
g(x) = -2^(x - 3) - 5
Hence, the transformed function g(x) is g(x) = -2^(x - 3) - 5
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