Practice - Quadratic Applications

A lizard is jumping across the water in search of food. The equation  $h=-12t^2+6t$   models the lizard's height in feet above the water t seconds after he jumps.

 How long after jumping is he back on the water? Round to the nearest tenth and label!

The function  $f(t)=-5t^2+20t+60$   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? Be sure to label!

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  $p=-15x^2+600x+60$    where x is the price of each ticket. 

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

• $6060

• $20

• $600

• $10,250

A fountain shoots water in an arc over a lake that can be modeled by the equation  $y=-0.4x^2+8x$   where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river. 

How high does the water go?

• It goes 11.78 feet high

• It goes 20 feet high

• It goes 40 feet high

• It goes 10 feet high

Which one are we looking for?

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

• x at vertex

• y at vertex

• positive zero

• y-intercept

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

Which one are we looking for?

Isabella 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.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

Which one are we looking for?

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

• x at vertex

• y at vertex

• positive zero

• y-intercept

Tags

CCSS.HSA.REI.B.4

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 90 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 0 ft

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1