Absolute Value

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

What is the vertex of the following Absolute Value graph?

• y = 0

• (0,0)

• x=0

• (-1,0)

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

• left 1

  up 5

• right 1

  up 5

• V.C

• V.S.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

• Vertex: 3, -7

• Vertex: -3, 7

• Max = -7

• Min = 7

• Vertex: -1, -12

• Vertex: 1, -12

• Max = -12

• Min = -12

• Vertex: -1, -12