Catapults and projectiles: Catapults have a long and interesting history that dates back t...

Catapults and projectiles: Catapults have a long and interesting history that dates back to ancient times, when they were used to launch javelins, rocks, and other projectiles. The diagram given illustrates the path of the projectile after release, which follows a parabolic arc. Use the graph to determine the following:

a. State the domain and range of the projectile.

b. What is the maximum height of the projectile?

c. How far from the catapult did the projectile reach its maximum height?

d. Did the projectile clear the castle wall, which was 40 ft high and 210 ft away?

e. On what interval was the height of the projectile increasing?

f. On what interval was the height of the projectile decreasing?