I need help with these questions

8. Sketch a graph of f(x) = (x - 1)3 (x + 2) labeling everything on the side. 9. Sketch a graph of f(x) = _ labeling as much as possible on the side. heaw gulbisimbigelb a ledel bos1. Pablo owns his own pizza parlor. Pan pizzas are the best seller. His profit for selling pan pizzas is given by the function, P(x) = -80(x - 9.75)2 + 450, where x is the price of a pan pizza in dollars. If Pablo wants to maximize his profit, what price should he charge, and what would be the maximum profit if he did? 2. Find numbers x and y that satisfy the equation 3x + y = 12 such that the product of x and y is as large as possible.5. A manufacturer has been selling 1, 120 TV's a week at $380 each. A market survey conducted indicates that for each $14 discount, the number sold will increase by 196 per week. How large of a discount should the company offer buyers to maximize revenue? 6. An open-top box is to be made from a 20 in by 30 in. piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What size square should be cut out of each corner to get a box with maximum volume?7. If 1200 cm2 of material is available to make a box with a square base and an open top, what is the box's largest possible volume? 8. Determine the maximum area if we wanted to make a rectangular garden where one side uses a preexisting rock wall, and the others use wire fencing; which, we only have 200 ft of.9. A window is to have the shape of a rectangle surmounted by a semicircle, called a Norman window. If the building code allows a maximum perimeter of 16 feet for a window, find the dimensions of this type if we want to allow in as much light as possible to the building 10. An island is 1 mile due north of its closest point along a straight shoreline. A visitor is staying at a cabin on shore that is 15 miles west of that point. He is planning to go from the cabin to the island. Suppose he can run at a rate of 2.5 mph and swim at a rate of 6 mph. How far should he run before swimming to minimize the time it takes to reach the island