Interpreting Key Features of Absolute Value Functions

Which equation represents an absolute value function that has been translated 4 units down and 3 units right?

• y = |x + 4| - 3

• y = |x - 3| - 4

• y = |x + 3| - 4

• y = |x - 4| + 3

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.

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

What is the domain of the absolute value function?

• -6 ≤ x ≤ 6

• (0, 4)

• All real numbers

• x ≥ 4

What is the range of the absolute value function?

• All real numbers

• y ≥ 3

• y ≥ 3

• y ≤ 3

What is the vertex of the absolute value function?

• (4, 0)

• (0, 4)

• (-6, 0)

• (6, 0)

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? g(x) = -1/5 |x + 6| +4

• (6, 4)

• (-6, -4)

• (-6, 4)

• (6, -4)

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

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|