Quadratic Functions in Real Life

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds
• 64 seconds
• 960 seconds
• 2 seconds

Tags

CCSS.HSA.REI.B.4

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

• 12 feet

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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?

• 2 meters

• 5 meters

• 40 meters

• 20 meters

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

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.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

CCSS.HSA.SSE.A.1

Write the equation for the parabola with a vertex of (-5, 2) and passes through (-6, -1)

• $y=\left(x+5\right)^2+2$

• $y=-\left(x+5\right)^2+2$

• $y=3\left(x+5\right)^2+2$

• $y=-3\left(x+5\right)^2+2$

• $y=-3\left(x-5\right)^2+2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Evie throws her Biology book upward while standing on a rooftop of a building that is 30 feet high.  The motion of the book is modeled by the equation $h=-16t^2+50t+30$  where h is the height of the book in feet after t seconds. At what time does the book reach its maximum height?

• 1.563 sec

• 3.125 sec

• 1.067 sec

• 0.320 sec

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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Distribute.
(x + 3)(x + 2)

• x² + 6x + 5
• x² + 8x + 6
• 6x²+ 6
• x² + 5x + 6

Tags

CCSS.HSA.APR.A.1

Convert the equation from vertex form (shown) to standard form:

y = -3(x + 5)² - 4

Formula: y = ax² + bx + c

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3