Quadratic in Context

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

Mathematical Equivalence

ON

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 20t + 25. From what height was the balloon launched?

Mathematical Equivalence

ON

This parabola has (a)   zeros. 

• 3

• 2

• 0

• 1

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

• The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

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

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

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

What Key Feature are you looking for if the question is: This can be modeled with the function h(t) = -16t² + 96t. When does the rocket land?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

A baseball is hit into the air. The height of the baseball, in feet, as a function of time, in seconds, is represented in the graph. In the context of the problem, what is the meaning of f(3) = 246?

• The maximum is 82 feet.

• After 246 seconds the baseball is 3 feet in the air.

• After 3 seconds the baseball is 246 feet in the air.

• The average rate of change is 82 feet per second.

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball's height always decreasing?

An golf ball in launched directly upward at 64 feet per second (ft/s) from a platform at Top Golf. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the golf ball's maximum height in feet? Enter a number only.