Quadratics Review

Identify the domain and range of the function.

• Domain: -6 ≤ x ≤ 2
  Range: -3 ≤ y ≤ 5
• Domain: All real number
  Range: -3 ≤ y ≤ 5
• Domain: All real numbers
  Range: y ≥ -3
• Domain: All real number
  Range: y ≤ -3

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 

• The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
• The ball was kicked from the ground and it was in the air for 4 seconds. 
• The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
• The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)
• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)
• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)
• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

• f(x)= -(x-4)²+7
• f(x)= (x+4)²+7
• f(x)= -(x+4)²+7
• f(x)= (x-4)²+7

Which of the following is written in the correct vertex form and identifies the correct vertex and y-intercept for the function                 f(x)= x²+6x-1?

• y=(x+3)²-10
  Vertex: (-3, -10)
  y-intercept: (0, -1)
• y=(x+3)²+19
  Vertex: (-3, 19)
  y-intercept: (0, 1)
• y=(x+3)²+1
  Vertex: (-3, -1)
  y-intercept: (0, -10)
• y=(x-3)²+10
  Vertex: (3, 10)
  y-intercept: (0, -1)

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 

• 10 feet 
• 19 feet
• 13 feet
• 16 feet 

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Factor: 49x² - 100

• (49x + 100)(x - 1)
• (7x - 10)(7x + 10)
• (49x - 10)(x + 10)
• (7x -10)(7x - 10)

Factor:   3x²- 6x - 24

• (3x - 8)(x + 3)
• (3x + 4)(x - 6)
• 3(x - 2)(x + 4)
• 3(x + 2)(x - 4)

-5x² = -50

• ± 5
• ± 10
• ± √10
• -10