Transforming Absolute Value Graphs

What is the slope of the parent linear function Y = X?

• 0

• Undefined

• 1

• 2

In set notation, how is the domain of the linear function Y = X represented?

• X such that X is greater than 0

• Y such that Y is greater than 0

• Y such that Y is an element of all real numbers

• X such that X is an element of all real numbers

What is the range of the linear function Y = X in interval notation?

• (-∞, ∞)

• (-∞, 0)

• (-∞, 1)

• (0, ∞)

What is the absolute value of -2?

• 4

• 0

• -2

• 2

For the absolute value function, what is the range in interval notation?

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)

• [0, 1]

What does a negative sign in front of the absolute value function indicate?

• Vertical stretch

• Horizontal shift

• Vertical shrink

• Reflection over the x-axis

If the absolute value function is shifted left by 3 units, how is it represented inside the absolute value bars?

• x + 3

• x - 1

• x + 1

• x - 3

What is the effect of a vertical stretch by a factor of 2 on the absolute value function?

• The graph shifts down

• The graph becomes wider

• The graph becomes narrower

• The graph shifts up

How would you write an absolute value function that is translated 12 units up and 6 units left?

• |x - 6| + 12

• |x + 6| + 12

• |x - 6| - 12

• |x + 6| - 12

What does a vertical shrink by a factor of 1/2 do to the absolute value function?

• Shifts the graph up

• Makes the graph wider

• Makes the graph narrower

• Shifts the graph down