Quad Fomula and Applications

The height of an object thrown into the air can be modeled by the formula $h=-16t^2+70t+95$ , where h is in feet after t seconds.
What is the height of the object after 5 seconds?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

The height of an object thrown into the air can be modeled by the formula
 $h=-16x^2+70x+95$   , where h is in feet after t seconds.  How long did it take for the object to hit the ground?

• 3.45 seconds

• -1.09 seconds

• 6.9 seconds

• 5.46 seconds

 $h=-16t^2+64t+960$  
A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function above.  What height is the ball after 3 seconds?

• 880 feet

• 1008 feet

• 3 feet

• 1104 feet

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (-2, 14)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t² + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?

• .25 ft
• 24 ft
• 25 ft
• 8 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

5) A boys rides a kids' roller coaster and the equation

f(x) = -x² +16x represents the ride on the roller coaster, when x = time in seconds and f(x) = height in feet. Which information below is correct?

• The boy reaches a maximum height of 48 feet at 4 seconds

• At 5 seconds the boys is 50 feet in the air

• The boy reaches a maximum height of 64 feet at 8 seconds

• At 11 seconds the boy will be at 128 feet high

10) What is the lowest point the graph

y = 3x²-24x + 11 will reach?

• (1,-10)

• (3,-34)

• (6,-40)

• (4,-37)

Where the parabola (U shape) crosses the x-axis.

• Domain

• Range

• Y-intercept

• X-intercept

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

The vertex is defined as:

• The maximum.

• The minimum.

• The highest or lowest point of the parabola.

• The vertical height of the parabola

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA.REI.B.4