\(\text{y} = 4\text{x}^{2}\)

\(\text{y} = -3\text{x}^{2}\)

A penny is dropped from a height of 196 feet off the bridge. The function \(\text{d} = -16\text{t}^{2} + 196\) models the distance d in feet the penny is from the surface of the water at time t seconds. Graph this function. Then use your graph to estimate the time it will take for the penny to reach the water.

The area A is square feet of a projected movie on a movie screen can be represented by the equation \(\text{A} = 0.25\text{d}^{2}\), where d represents the distance from a projector to the movie screen. Graph the function. Then use your graph to estimate the distance from the projector to a screen if the area of the movie is 7 square feet.

Anna has trim to make a rectangular border for a scrapbook page. The section inside the border is x inches long and (12 - x) inches wide.

a. Write a function to represent the area A of the section inside the border.

b. What should the dimensions of the section be to enclose the maximum area inside the border?