Quadratic Feature Word Problems

What key feature tells the initial height of the roller coaster?

• y-intercept

• positive root/

  x-intercept

• x of vertex

• y of vertex

What key feature tells the minimum height of the roller coaster?

• y-intercept

• positive root/

  x-intercept

• y of vertex

• x of vertex

How high was the ball when it was initially (first) thrown? Choose the best answer.

• 0 feet because this is the y-intercept.

• 3 feet because this is the y-intercept.

• 4 seconds because this is the axis of symmetry.

• 5 feet because this is the y-value of the vertex (highest point).

This graph shows the height of a soccer ball in feet over time in seconds. Which statement is true?

• The soccer ball hits the ground again at 6 seconds.

• The soccer ball reaches a minimum point at 3 seconds.

• The soccer ball starts at a height of 4 feet.

• The soccer ball stays on the ground the whole time.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t² + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t² + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

• -16 seconds

• -6 seconds

• 0 seconds

• 6 seconds

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

• 7 seconds

• 6 seconds

• 3 seconds

• 8 seconds

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds. When is the ball at ground level?

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds