Graphing Absolute Value Functions

What is the vertex of the absolute value function?

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

What is the domain of the absolute value function?

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

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units
• Shift down 4 units
• Shift left 4 units
• Shift right 4 units

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|

What is the range of the absolute value function?

• (-infinity, infinity)
• [3, infinity)
• [0, infinity)
• (-infinity, 3]

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts right
• Stretches wider, shifts right
• Stretches more narrow, shifts left
• Stretches wider, shifts left

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit
• Flips to A shape, compresses wider, shifts up 1 unit
• Flips to A shape, stretches more narrow, shifts right 1 unit
• Flips to A shape, stretches more narrow, shifts up 1 unit

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

Choose the correct equation for the graph.

• $y=\left|x\right|+3$

• $y=\left|x-3\right|$

• $y=-\left|3x\right|$

• $y=\left|3x\right|$