Jack wants to know how high the soccer ball will get if he kicks it straight up in the air.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

Lily wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

Nancy is trying to find how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

Bill is wondering how long it will take a football to hit the ground after Tom Brady throws it during practice.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

Sally threw a ball in the air. Sally’s friend wanted to find out how high the ball got given that it took 1 second to get to its highest point.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

Ray found the maximum height of a basketball thrown from half court to be 21 feet and wants to know how long it took to get there.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

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

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?

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.

h = -5t² + 45

When is the ball at ground level?

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

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?

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

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

h(t) = -16t² + 8t + 24

When would you reach 16 feet above the water?

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?