#### Answer

g(x)=-$\frac{1}{4}$$\sqrt {16-x}$-1

#### Work Step by Step

First, f(x) is shrunk vertically by 4 so we must multiply the function by $\frac{1}{4}$ to get:
g(x)=$\frac{1}{4}$$\sqrt {16-x}$
The, f(x) is reflected across the x-axis so we must multiply the function by -1 to get:
g(x)=-$\frac{1}{4}$$\sqrt {16-x}$
Finally, f(x) is shifted downward by 1 unit so we must subtract 1 from the function to get:
g(x)=-$\frac{1}{4}$$\sqrt {16-x}$-1