Graphing Absolute Value Functions Challenge

What is the absolute value of -5?

• -5

• 10

• 0

• 5

Which of the following points is on the graph of y = |x|?

• (2, -2)

• (0, -1)

• (1, 1)

• (-2, -2)

What shape does the graph of y = |x| form?

• W-shape

• V-shape

• U-shape

• Z-shape

If the equation is y = |x - 3|, where is the vertex located?

• (3, 0)

• (0, -3)

• (-3, 0)

• (0, 3)

How does adding a positive value inside the absolute value function affect the graph?

• Moves up

• Moves right

• Moves left

• Moves down

For the function y = |x + 2| - 3, what is the vertex?

• (2, -3)

• (-2, -3)

• (2, 3)

• (-2, 3)

What happens to the graph of y = |x| when you subtract 4 outside the absolute value?

• Moves right 4 units

• Moves left 4 units

• Moves down 4 units

• Moves up 4 units

How does multiplying the absolute value function by a positive constant affect the graph?

• Narrows the V

• Widens the V

• Shifts the V

• Flips the V

What is the effect of a negative constant multiplier on the absolute value function?

• Shifts the V right

• Shifts the V left

• Opens the V downwards

• Opens the V upwards

For the function y = -2|x + 4| + 1, what is the vertex?

• (-4, 1)

• (4, -1)

• (-4, -1)

• (4, 1)