Graphing Absolute Value Functions

This video tutorial explains how to graph absolute value functions, focusing on understanding the vertex form. It covers identifying the vertex and slope, graphing the function, and determining the domain and range. The tutorial includes examples with different slopes and missing coefficients, providing a comprehensive understanding of graphing absolute value functions.

What is the main topic of the video?

• Graphing cubic functions

• Graphing absolute value functions

• Graphing linear functions

• Graphing quadratic functions

What does the number in front of the absolute value function represent?

• The y-intercept

• The x-intercept

• The vertex of the graph

• The slope of the graph

In the vertex form of an absolute value function, what do H and K represent?

• The slope and y-intercept

• The x and y coordinates of the vertex

• The domain and range

• The maximum and minimum values

For the function f(x) = 3|x + 2| + 4, what is the x-coordinate of the vertex?

• -4

• 4

• -2

• 2

For the function f(x) = 3|x + 2| + 4, what is the y-coordinate of the vertex?

• 2

• -2

• 4

• -4

What is the shape of the graph of an absolute value function?

• U-shaped

• L-shaped

• V-shaped

• S-shaped

What is the domain of the function f(x) = 3|x + 2| + 4?

• x < 0

• x = 0

• x > 0

• All real numbers

What is the range of the function f(x) = 3|x + 2| + 4?

• y ≥ 4

• y < 4

• y ≤ 4

• y > 4

For the function f(x) = -3|x + 2| + 4, what is the slope of the graph?

• 3

• -3

• -1

• 1

What is the range of the function f(x) = -3|x + 2| + 4?

• y > 4

• y ≤ 4

• y < 4

• y ≥ 4