Graphing Absolute Value Functions: Key Concepts and Techniques

What is the main focus of this video tutorial?

• Graphing quadratic functions

• Graphing linear functions

• Graphing absolute value functions

• Graphing exponential functions

What is the vertex of the basic absolute value function y = |x|?

• (2, 2)

• (-1, -1)

• (1, 1)

• (0, 0)

How does the graph of y = |x| change when x is replaced with x + 2?

• It shifts 2 units up

• It shifts 2 units to the left

• It shifts 2 units down

• It shifts 2 units to the right

What happens to the graph of y = |x| when a number is added outside the absolute value, such as y = |x| + 3?

• It shifts 3 units to the right

• It shifts 3 units to the left

• It shifts 3 units up

• It shifts 3 units down

In the function y = 2|x - 1| - 2, what is the vertex?

• (2, -1)

• (-2, 1)

• (-1, 2)

• (1, -2)

What does the coefficient 2 in the function y = 2|x - 1| - 2 represent?

• The y-intercept

• The slope

• The x-intercept

• The vertex

How does the graph of y = -|x - 3| + 1 differ from the basic absolute value graph?

• It is reflected over the y-axis and shifted down by 1

• It is reflected over the x-axis and shifted up by 1

• It is reflected over the x-axis and shifted down by 1

• It is reflected over the y-axis and shifted up by 1

What is the vertex of the function y = |x| - 2?

• (0, 2)

• (2, 0)

• (0, -2)

• (-2, 0)

In the function y = 1/4|x| - 2, what does the 1/4 represent?

• The y-intercept

• The slope

• The vertex

• The x-intercept

For the function y = -1/2|x + 3| + 2, what is the slope?

• -1/2

• 2

• 1/2

• -2