(a) The graph of a function $y = f(x)$ is vertically expanded by a factor of $3.$ Find an equation for this expanded function in terms of the function $f(x).$ For example, $y = 10 f(9x+8) + 7.$
help (equations)

(b) The graph of the function $y = e^x + 10$ is vertically expanded by a factor of $3.$ Find an equation for this expanded function.
help (equations)

(c) The graph of a function $y = g(x)$ is vertically compressed by a factor of $6.$ Find an equation for this compressed function in terms of the function $g(x).$ For example, $y = 10 g(9x+8) + 7.$
help (equations)

(d) The graph of the function $y = x^3 - 7x$ is vertically compressed by a factor of $6.$ Find an equation for this compressed function.
help (equations)