Algebra Quadratic Equations and Applications Review

Which of the following is fully simplified and equivalent to the square root shown?

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Matt was doing an experiment and throwing balls off the roof of buildings with different heights. What is the difference in time that the balls reach the ground if given the functions h = -16t² + 784 and h = -16t² + 1296?

• 2 seconds

• 7 seconds

• 9 seconds

• 16 seconds

Lisa jumped off a cliff into the water. Lisa goes up some and then begins to fall into the water after reaching her maximum height. Lisa's height above the surface of the water is given by h(t) = -16t² + 8t + 24. What is Lisa's maximum height?

• 24 feet

• 25 feet

• 12 feet

• 20 feet

What is the range of the function?

• 1 ≤ y < -4

• -4 ≤ x < 1

• -7 ≤ y < 2

• -4 < y ≤ 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function is equivalent to f(x) = -2(x + 6)² - 4

• f(x) = -2x² - 24x - 76

• f(x) = -2x² +12x +32

• f(x) = -2x² - 24x - 68

• f(x) = -2x² + 68

Which statement about k(x) = -x² - 3x +18 is true?

• The zeroes are -3 and 6,

  because k(x) = - (x + 3) (x - 6)

• The zeroes are -6 and 3,

  because k(x) = - (x + 6) (x - 3)

• The zeroes are -3 and -6,

  because k(x) = - (x + 3) (x + 6)

• The zeroes are 3 and 6,

  because k(x) = - (x - 3) (x - 6)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the axis of symmetry  y=4x²+8x+8?

• x = -1
• x = 1
• x = 2
• x = -2

Which equation represents the graphed quadratic function?

• y = (x + 3)² - 2

• y = - (x - 3)² - 2

• y = (x - 3)² + 2

• y = - (x + 3)² + 2

Tags

CCSS.HSF-IF.C.7A

The graph of f(x) = x² was transformed to create the graph g(x) = ½f(x) + 5. Which of these describes the transformation from the graph of f to the graph of g?

• A shift up five units and a horizontal compression

• A shift down five units and a vertical compression

• A shift up five units and a horizontal stretch

• A shift down five units and a vertical stretch

What is the domain of f(x) = 16 + x²?

• x ≥ 16

• All real numbers

• -2 ≤ x ≤ 2

• f(x) ≤ 16