Solving Quadratics Root Problems

You are cliff diving with some friends. Your path to the water is modeled by h(t) = -16t^2 + 8t +24. How long will it take for you to hit the water? What are you solving for?

• roots

• axis of symmetry

• y-value of the vertex

• y-intercept

A model rocket is launched from the ground and it's path is modeled by the function h(t) = -16t² + 96t. What are you solving for?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

The height of a ball that is thrown into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

• 2 meters

• 4 meters

• 5 meters

• 8 meters

If a toy rocket is launched from the ground and its height h after t seconds is given by the function h(t) = -8t² +64t.

When will the object reach its maximum height?

• 128 ft

• 0 seconds

• 0 ft

• 4 seconds

x = { ​ (a)   }

• -2, 1

• 2, -1

• (-2, 0)

• (1, 0)

• (2, 0)

• (-1, 0)

• (0, -32)

• (-0.5, -36)

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

If you jump off a cliff and your path is modeled by the function,

h(t) = -16t² + 8t + 24, where t is time in seconds, how long would it take you to reach the water?

• .25 sec

• 1 sec

• 1.5 sec

• 2 sec

Your younger sibling is standing on his deck, which is 4 feet off the ground. They toss their toy up into the air. The toy's height, h, from the ground at t seconds after they threw it is modeled by the function h(t) = -2t² + 7t + 4. How long does it take the toy to hit the ground?

• .5 sec

• 2 sec

• 4 sec

• 8 sec

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary Solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary Solutions

Tags

CCSS.HSA-REI.B.4B