Quadratic Applications :-)

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.D.10

A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4
• 2
• 4
• 8

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

What is the initial (starting) height of an object following this path?  h(t) = -16t² +20t + 6

• -16 feet 
• 0 feet
• 20 feet 
• 6 feet 

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

• 2.5 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

An object in launched directly upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. What is the initial velocity the object is launched at?

• 64 feet

• 80 feet

• 16 feet

• -16 feet

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Tags

CCSS.HSA.REI.B.4

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

When I want to find the maximum or minimum height of an object, I should_____.

• Set the equation = 0 and solve.
• Use x = (-b/2a) as my answer.
• Substitute x = 0 into the equation.
• Find the y-coordinate for the vertex.

Tags

CCSS.HSA.REI.B.4

If I want to find out when an object hits the ground, I should _________.

• Use x = (-b/2a) as my answer.
• Set my equation = 0 and solve.
• Replace x with 0 and evaluate.
• Find the y-coordinate of the vertex.

If I want to see the initial height of an object, I should _____________.

• Substitute x = 0 into the equation and evaluate.
• Use x = (-b /2a) as my answer.
• Find the y-coordinate of the vertex. 
• Set my equation = 0 and solve.

Tags

CCSS.8.F.B.4

CCSS.8.F.A.1