Quadratic 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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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)

Tags

CCSS.HSF-IF.C.7A

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 equations represent the graph?

• y=(x+3)(x-1) and y=x²+2x-3
• y=(x+3)(x-1) and y=-x²-2x+3
• y=-(x-3)(x+1) and y= x²+2x-3
• y=-(x+3)(x-1) and y= -x²-2x+3

Tags

CCSS.HSF-IF.C.7A

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)

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x = 5

• x=1

• y = 1

• y = 5

What is the maximum value of the function shown?

• 4

• 3

• 1

• -3

Tags

CCSS.HSF-IF.C.7A

What is the vertex?
y = -2x² + 4x + 3

• (0, 3)
• (-1, 5)
• (1, 5)
• (1, -5)

Find the y-intercept of f(x) = 2x² - 2x + 1

• 2
• -2
• 1
• -1