How would I go about solving this?

7. Analyze the graph of the function f (x) = x(x-4)' by filling in the blanks. Use the methods discussed in class to sketch the graph of the function on the given coordinate axes. Simply plotting points is NOT sufficient. Label any local extrema and points of inflection with ordered pairs. Notice that f'(x) and f"(x) is given. Domain: x-intercept(s): y-intercept: symmetry: f'(x) = 4(x-4) (x-1) f"(x) = 12(x-4)(x-2) critical number(s): possible point(s) of inflection: 20 15 10 -2 -10 --15 -20 -25 -30