(a) The graph of a function $y = f(x)$ is shifted down $6$ 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 $y = 2^x$ is shifted down $6$ units. Find an equation for this shifted function.
help (equations)

(c) The graph of a function $y = g(x)$ is shifted up $3$ 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 $y = 3x^2 - 5x$ is shifted up $3$ units. Find an equation for this shifted function.
help (equations)