Extra Credit: Transformations of Absolute Value Functions

What is the always the lowest or highest point on an absolute value graph?

• Axis of Symmetry

• X-Intercept

• Vertex

• the "a"

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation from the graph of f(x)=|x| to the graph of g(x) = -2|x+3|- 4.

• The graph was reflected across the x-axis, vertically compressed by a factor of 2, and translated left 3 units and down 4 units.

• The graph was reflected across the x-axis, vertically stretched by a factor of 2, and translated right 3 units and down 4 units.

• The graph was reflected across the x-axis, vertically compressed by a factor of 2, and translated right 3 units and down 4 units.

• The graph was reflected across the x-axis, vertically stretched by a factor of 2, and translated left 3 units and down 4 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

What is the equation of the graph below?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What shifts have occurred?

• left 1, up 5
• left 1, down 5
• right 1, down 5
• right 1, up 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

What is the equation of the graph below?

• f(x) = I x I -1
• f(x) = I x I +1
• f(x) = - I x I -1
• f(x) = -I x I +1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

• Left 4
  up 9
• Left 4
  Down 9
• Right 4
  up 9
• Right 4
  Down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units
• Stretches more narrow, shifts down 4 units
• Compresses wider, shifts up 4 units
• Compresses wider, shifts down 4 units

Tags

CCSS.HSF.BF.B.3

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the following function?
y= 4|x|+1

• (0,1)
• (4,1)
• (-4,1)
• (4,-1)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7