A doorway into a store is in the shape of an arch whose equation is h=-4x² + 6x, where x represents the horizontal distance, in feet, from the left side of the bottom of the doorway, and h is the height, in feet, of the doorway. The bottom left side of the doorway is located at (0,0). Show or explain how you arrived at your solution a. How wide is the doorway at its base?

b. What is the maximum height of the doorway? c. Can a box that has the dimensions 6 feet by 6 feet by 5 feet, be moved through the

doorway without damaging the box? Explain your answer.