Abs Value Transformations & Equations

Choose the correct translated function.

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

What is the parent function for absolute values?

• y = x
• y = |x|
• y = x²
• y = 2^x

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

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 down 4 units

Describe the transformations of the absolute value equation.

• Reflection across x-axis, compresses wider, shifts right 1 unit

• Reflection across x-axis, compresses wider, shifts up 1 unit

• Reflection across x-axis, stretches more narrow, shifts up 1 unit

• Stretches more narrow, shifts up 1 unit

What is the transformation shown below:

y = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

What is the transformation of the graph below:

y = |x| - 8

• Shift up

• Shift down

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)