Application of Quadratic Function

A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t² + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds

• -2 seconds

• 6 seconds

• 9 seconds

What is the vertex of the parabola: y=2(x-3)²+4.
Explain how you got your answer.

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

The profit from selling local ballet tickets depends on the ticket price.  Using past receipts, we find that the profit can be modeled by the function p= -15x² +600x +60 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?

• $6060

• $20

• $600

• $10,250

The math club launched a rocket and recorded its height and distance travelled. What was its maximum height?

• 4 feet

• 8 feet

• 10 feet

• 14 feet

The math club launched a rocket and recorded its height and distance travelled. At what height did they start shooting it from?

• 4 feet

• 8 feet

• 10 feet

• 14 feet

A company graphed the revenue (profit) based on selling price of their item. If the items were $62, how much revenue would they have?

• $0

• $31.80

• $62

• $2,528,100

When did the ball reach its maximum height? Choose the key feature and the answer.

• y-intercept, 3 secs

• x-value of the vertex, 4 secs

• y-value of the vertex, 5 secs

• y-intercept, 0 secs

What was the height of the ball at 1 second?

• 3 feet

• 4 feet

• 5 feet

A company graphed the revenue (profit) based on selling price of their item. What price would give them the greatest revenue?

• $0

• $31.80

• $62

• $2,528,100