Real World Quadratic Applications Quiz

The graph below describes a ball that was kicked by Mr. Crawford in a soccer match. Which of the following is a true statement describing the graph of the ball's flight?

• The ball was kicked from a height of 500 centimeters and it traveled for 2 seconds before reaching its maximum height.

• The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds before landing on the ground.

• The ball was kicked from the ground and it was in the air for 4 seconds.

• The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

Which of the following describes the graph of the equation y = x² - 2x -15?

• The graph has a maximum point and a y-intercept of (0, -2).

• The graph has a minimum point and a y-intercept of (0, -15).

• The graph has a minimum point and a y-intercept of (0, -2).

• The graph has a maximum point and a y-intercept of (0, -15).

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CCSS.HSF-IF.C.7A

Mrs. Johnson built and launched a toy rocket from a balcony that was 10 feet from the ground. The height of the rocket is modeled the equation y = -x² + 6x + 10, where x represents time in seconds and y represents the height in feet. What is the maximum height that her rocket will reach in its flight?

• 7.4 feet

• 10 feet

• 19 feet

• 20 feet

A frog is sitting on the ground when he is scared by Mr. Bennett's big dog. The movement of the frog is modeled by the equation y = -5x² + 5x where y is the frog's height in feet at any given time in seconds, x. When is the frog at a height of 0.8 feet?

• 0.2 seconds

• 0.5 seconds

• 1.25 seconds

• 0 and 1 seconds

• 0.2 and 0.8 seconds

On one of Mr. Gebhardt's visits to the aquarium, he watched a dolphin jump from the water with an initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height in feet at any given time of seconds, t. What is the dolphin's height at 1.5 seconds into its jump?

• 1 foot

• 1.5 feet

• 2 feet

• 6 feet

• 8 feet

Mrs. Prickitt is helping to sell tickets for a talent show. The profit from selling talent show tickets depends on the ticket price. Using past receipts, it is determined that the profit can be modeled by the function: p = 15x² - 600x + 60, where p is the total profit in dollars and x is the number of tickets sold. What is the minimum number of tickets that need to be sold in order to make a positive profit?

• 0

• 20

• 40

• 60