Unit 4 Review 2

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground?

• 1.094 seconds

• 174.141 seconds

• 155 seconds

• 4.393 seconds

• None of the above

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h (t) = −16 t² + 8t + 24, where h is his height,in feet, above the water, t is the time, in seconds . How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

• None of the above

The function h(t) = -16t²+60t + 130 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?

• 4.2 seconds

• 4.9 seconds

• 5.3 seconds

• 5.8 seconds

• 6.1 seconds

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

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

Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation

h = -4t² + 12t. How high did the soccer ball get?

• 1.5

• 3

• 5

• 9

• 15

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² +128t

When will the object reach its maximum height?

• 4 ft

• 0 seconds

• 0 ft

• 4 seconds

• None of the above

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6
• y= -(x-1)²-6
• y= (x+1)²-6
• y= -(x+6)²-1

Convert the equation y= x² + 4x + 11 into vertex form.

• y = (x + 2)² - 4

• y = (x + 2)² + 7

• y = (x + 2)²

• y = (x - 2)² - 7