Absolute Value of Functions

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

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

• (-4,2)

• (-2,5)

• (-4,-2)

• (2,5)

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

• (0,1)

• (4,1)

• (-4,1)

• (4,-1)

Use Narrow, Wide, or Same to compare the width of this graph to its parent function.
y = 5/2 |x - 1|+ 2

• Narrow

• Wide

• Same

Which parent function matches the graph?

• f(x) = x

• f(x)= x²

• f(x) = |x|

• f(x) = ab^x

What is the domain of the graph above?

• (-∞,∞)

• (-∞,0]

• [0,∞)

• [2,∞)

What is the vertex?

• (3, 1)

• (0, 1)

• (1, 3)

• No vertex

Describe the transformations of the absolute value equation.

• reflection, shrinks, shifts right 1 unit

• reflection, shrinks, shifts up 1 unit

• reflection, stretches, shifts right 1 unit

• reflection, stretches, shifts up 1 unit

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 

What is the equation of the absolute value function?

• f(x)= 4|x+3|

• f(x)= 1/4 |x+3|

• f(x)= 1/4 |x - 3|

• f(x)= 4|x - 3|