(a) The graph of a function $y = f(x)$ is shifted to the left $3$ units and up $8$ units. Find an equation for this shifted function in terms of the function $f(x)$. For example, $y = 10 f(9x+8) + 7.$
help (equations)

(b) The graph of the function $y = 2^{x/3}$ is shifted to the left $3$ units and up $8$ units. Find an equation for this shifted function.
help (equations)

(c) The graph of a function $y = g(x)$ is shifted to the right $9$ units and down $6$ units. Find an equation for this shifted function in terms of the function $g(x)$. For example, $y = 10 g(9x+8) + 7.$
help (equations)

(d) The graph of the function $y = -2x^3 - 4x$ is shifted to the right $9$ units and down $6$ units. Find an equation for this shifted function.
help (equations)