Which statement best describes the transformations applied to $f(x) = 2^x$ to obtain $g(x) = -3 \cdot 2^{x+5} + 8$?

Reflected over the x-axis, vertically stretched by a factor of 3, shifted 5 units left, and shifted 8 units up.

Reflected over the x-axis, vertically stretched by a factor of 3, shifted 5 units right, and shifted 8 units up.

Vertically stretched by a factor of 3, shifted 5 units left, and shifted 8 units down.

Reflected over the y-axis, vertically compressed by a factor of $\frac{1}{3}$, shifted 5 units left, and shifted 8 units up.

The function $f(x)=6^x$ is transformed by a vertical compression of factor $\frac{1}{4}$, a shift 2 units right, and a shift 9 units down. What is the resulting function $g(x)$?

$g(x) = \frac{1}{4} \cdot 6^{x-2} - 9$

$g(x) = \frac{1}{4} \cdot 6^{x+2} + 9$

$g(x) = \frac{1}{4} \cdot 6^{x-9} - 2$