Exploring Absolute Value Functions and Their Transformations

What shape does the graph of the parent absolute value function form?

• A U-shape

• A straight line

• A circle

• A V-shape

If the absolute value function has x + 2 inside and -3 outside, which direction does the graph shift horizontally?

• Down 2 units

• Up 2 units

• Left 2 units

• Right 2 units

What is the effect of a -3 outside the absolute value function?

• Shifts the graph up 3 units

• Shifts the graph down 3 units

• Shifts the graph left 3 units

• Shifts the graph right 3 units

What is the purpose of using a T-chart when graphing absolute value functions?

• To determine the vertex

• To find the slope

• To plot points and check symmetry

• To calculate the range

What is the domain of the parent absolute value function?

• All positive numbers

• Numbers greater than zero

• All real numbers

• All negative numbers

How can the range of an absolute value function be described if the lowest point is -3?

• y ≥ -3

• y ≤ -3

• y > -3

• y < -3

What does a vertical stretch by a factor of 3 do to the graph of an absolute value function?

• Shifts the graph up

• Makes the graph wider

• Makes the graph narrower

• Shifts the graph down

If the function has a -1 inside the absolute value, which direction does the graph shift?

• Down 1 unit

• Left 1 unit

• Right 1 unit

• Up 1 unit

What is the vertex of the function with transformations x - 1 inside and -5 outside?

• (-1, -5)

• (1, 5)

• (-1, 5)

• (1, -5)

What is the range of the function if the lowest point is -5?

• y ≤ -5

• y ≥ -5

• y > -5

• y < -5