Math 2 NCFE Review

A cliff diver on a Caribbean island jumps from a height of 105 feet, with an initial upward velocity of 5 feet per second.  An equation that models the height, h(t), above the water, in feet, of the diver in time elapsed, t, in seconds is h(t) = -16t²+ 5t + 105. How many seconds, to the nearest hundredth, does it take the diver to fall 45 feet below his starting point?

• 1.45
• 1.84
• 2.10
• 2.72

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

The graph of y = (x - 3)² is shifted left 4 units and down 2 units.  What is the axis of symmetry of the transformed graph?

• x = -2
• x = -1
• x = 1
• x = 7

What is the range of f(x) = (x + 4)² + 7?

• y > -4
• y≥ 4
• y = 7
• y≥ 7

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If d varies inversely as t, and d = 20 when t = 2, what is the value of t when d = -5?

• 8
• 2
• -8
• -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Dwayne purchased a computer from Techtronics, Inc. for $2600 in 2007.  The rate of depreciation is 7%.  Which would be the best estimate for the value of the computer in 2010?

• $1945
• $2091
• $2577
• $2593

Tags

CCSS.HSF.BF.A.2

The growth of bacteria in a dish is modeled by the function f(t) = 2^t/3.  For which value of t is f(t) = 32?

• 8
• 2
• 15
• 16

Tags

CCSS.HSF.LE.A.4

If f(x) = x² - 6 for x ≥ 0, find the inverse, f^-1(x).

• √(x - 6)
• ±√(x + 6)
• √(x + 6)
• -√(x + 6)

Tags

CCSS.HSF-BF.B.4A

• {x | x > -4}; {y | y > 2}
• {x | x ≥ -4}; {y | y ≥ 2}
• {x | x > 2}; {y | y > -4}
• {x | x ≥ 2}; {y | y ≥ -4}  

Tags

CCSS.HSA.REI.D.12

If f(x) = x² - 3, then f(a - b) is equivalent to

• a²- b² - 3
• a²- 2ab - b² - 3
• a²- 2ab + b² - 3
• a² + b² - 3

Tags

CCSS.7.EE.A.1

Describe the shifts in direction of the vertex when the equation y = |x| changes to the equation
 y = |x + 2| + 1.

• right 2 units and up 1 unit
• left 2 and up 1 unit
• right 1 units and up 2 units
• left 1 unit and down 2 units

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7