Quiz 4 - Chapter 2.2 Characteristics of Quadratic Functions

What is the axis of symmetry of the quadratic function f(x) = 3x² - 6x + 4?

• x = -1

• x = 1

• x = 2

• x = -2

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What are the values of the coefficients a, b, and c of the quadratic function:

f(x) = -2x² - 8x + 1?

• a= 2

  b= -8

  c = 1

• a = -2

  b= 8

  c = 1

• a = -2

  b = -8

  c = 1

• a = 2

  b = 8

  c = -1

What is the axis of symmetry and the vertex of the quadratic function

f(x) = -4x² +8x + 2?

• x = 1

  Vertex: (1, 6)

• x = - 1

  Vertex: (-1, 6)

• x = 1

  Vertex: (6, 1)

• x = -1

  Vertex: (6, -1)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Find the minimum value or maximum value.

Describe the domain and range of the function, and where the function is increasing and decreasing.
f(x) = 4x² +16x - 3

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.1

Find the minimum value or maximum value.

Describe the domain and range of the function, and where the function is increasing and decreasing.
f(x) = -3x² - 6x + 5

• x= 1

  Minimum value: -8

  Domain: All real numbers

  Range: y   ≤  -8

  Decreasing to the left of x = 1

  Increasing to the right of x = 1

  
  

• x = 1

  Maximum value is -8

  Domain: All real numbers

  Range: y ≤ -8

  Increasing to the left of x = 1

  Decreasing to the right of x=1

• x = -1

  Maximum value is 8

  Domain: All real numbers

  Range: y ≤ 8

  Increasing to the left of x = -1

  Decreasing to the right of x = -1

  
  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.1

What are the x-intercepts of the function

f(x) = 3(x + 2)(x + 6)?

• p = 2 and q = -6

  or

  (2, 0) and (-6, 0)

• p = -2 and q = 6

  or

  (-2, 0) and (6, 0)

• p = -2 and q = -6

  or

  (-2, 0) and (-6, 0)

• p = 2 and q = 6

  or

  (2, 0) and (6, 0)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

1. What is the axis of symmetry of the quadratic function

2. f(x) = 3(x + 2)(x + 6)?

• x = -3

• x = -4

• x = 4

• x = 3

Tags

CCSS.HSA.APR.B.3

What is the vertex of the quadratic function

1. f(x) = 3(x + 2)(x + 6)?

• Vertex is (4, -12).

• Vertex is (-4, -12).

• Vertex is (-4, 12).

• Vertex is (4, 12).

Tags

CCSS.HSA.REI.B.4

What are the x-intercepts of the quadratic function

g(x) = 2(x−5) (x−1)?

• p = -5 and q = 1

  or

  (-5, 0) and (1, 0)

• p = 5 and q = -1

  or

  (5, 0) and (-1, 0)

• p = 5 and q = 1

  or

  (5, 0) and (1, 0)

• p = -5 and q = -1

  or

  (-5, 0) and (-1, 0)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Which of the following is the graph of f(x) = (x - 1) (x + 3)

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10