1.1.4 DOL - Absolute Value

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5
• Shifts right 5
• Shifts up 5
• Shifts down 5

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

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 = -2 I x I + 3

• reflected over x axis, vertically stretched by 2, up 3

• reflected over x axis, vertically stretched by 2, down 3.

• vertically compress by 3, up 2

• reflected over the x axis, vertically compressed by 2, up 3

• (0,4)

• (1,4)

• (4,0)

• (4,1)

Write the absolute value equation given the following transformations:
Reflection over the x-axis
Vertical shift down 7 units

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit
• Reflects over x-axis, compresses wider, shifts up 1 unit
• Reflects over x-axis, stretches more narrow, shifts right 1 unit
• Reflects over x-axis, stretches more narrow, shifts up 1 unit