Solution
Step 1:
Write the parent function
[tex]f(x)\text{ = 4}^x[/tex]
Step 2:
Transformation of f(x) to g(x)
First, f(x) was reflected across the x-axis
[tex]f(x)\text{ }\rightarrow\text{ -4}^x\text{ }\rightarrow\text{ g\lparen x\rparen}[/tex]
Step 3:
Then the function is later shifted 3 units vertically down.
[tex]g(x)\text{ = -4}^x\text{ - 3}[/tex]
Final answer
[tex]g(x)\text{ = -4}^x\text{ - 3}[/tex]
