Quadratic and Equations Problem Solving PRACTICE

You threw a rock off the balcony overlooking your backyard. The graph shows the height of the rock at different times. Which of the following questions would be answered by the coordinates of point A?

• What is the maximum height of the rock?

• When does the rock hit the ground?

• What is the initial height of the rock?

• When does the rock first reach a height of 30 feet?

You threw a rock off the balcony overlooking your backyard. The graph shows the height of the rock at different times. Which of the following questions would be answered by the coordinates of point B?

• What is the maximum height of the rock?

• When does the rock hit the ground?

• What is the initial height of the rock?

• When does the rock first reach a height of 30 feet?

You threw a rock off the balcony overlooking your backyard. The graph shows the height of the rock at different times. Which of the following questions would be answered by the coordinates of point C?

• What is the maximum height of the rock?

• When does the rock hit the ground?

• What is the initial height of the rock?

• When does the rock first reach a height of 30 feet?

You threw a rock off the balcony overlooking your backyard. The graph shows the height of the rock at different times. Which of the following questions would be answered by the coordinates of point D?

• What is the maximum height of the rock?

• When does the rock hit the ground?

• What is the initial height of the rock?

• When does the rock first reach a height of 30 feet?

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t² + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

• 2

• 4

• 9

• 10

• 15

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Your cousin hit a golf ball with an initial velocity of 27 feet per second. The equation h = -6t² + 27t models the golf ball's height in feet t seconds after the ball was hit. How long after being hit did the ball reach maximum height?

• 1 second

• 2.25 seconds

• 3 seconds

• 4.5 seconds

• 5 seconds