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10 questions
The height of a water balloon that is launched into the air is given by h(t) = -5t2 + 40t + 2. t=time in sec and h=height in feet. From what height was the balloon released? Hint: find the y-intercept
2 ft
5 ft
40 ft
20 ft
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 sec
0 ft
4 sec
A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t2 + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?
1 foot
5 feet
7 feet
8 feet
A ball is thrown straight up at an initial velocity of 54 feet per second. The height of the ball t seconds after it is thrown is given by the formula h(t) = 54t − 12t2 .
How many seconds after the ball is thrown will it return to the ground? Hint: find the x-intercept
9.2 sec
6 sec
4.5 sec
4 sec
A rocket is launched from a 400 foot building. The path can be modeled by h=−16t2+400 h=height in ft and t=time in sec. How long does it take for the rocket to land? Hint: find the x-intercept
4 sec
5 sec
2.5 sec
8 sec
What is the range of y=−x2+20x−96
y≤4
y≥4
What is the range of y=x2+2x
y≤−1
y≥−1
Find the x-intercepts for y=2x2−8x−42
(3, 0) and (7, 0)
(0, 3) and (0, 7)
(-3, 0) and (7, 0)
(0, 0) and (3, 0)
What is the vertex for y=x2−2x−3
(1, -4)
(-1, -4)
(-1, -4)
none
Find the vertex for y=−0.5x2+3.5x−3
3.5
3.125
(3.5, 3.125)
(-3.5, -3.125)
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