1. a) express the function in the form f(x)=a(x-h)^2+k and b) draw the graph of each function. F(x)=x^2-8x+14 2. A college is planning to construct a rectangular parking lot on land boarded on one side by the highway. The plan is to use 760 feet of fencing to fence off the other three sides. What dimensions should the lot have if the enclosed area is to be a maximum? (Hint: Let x represent the width of the lot, and let 760-2x represent the length.) 3. Paul has 440 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? 4. A rancher with 140 meters of fence intends to enclose a rectangular region along a river (which serves as a natural boundary requiring no fence). Find the maximum area that can be enclosed