Understanding Absolute Value Functions

The video tutorial explains how to graph an absolute value function by understanding transformations. It covers how subtracting values inside and outside the function affects the graph's position, specifically moving the vertex. The tutorial also details plotting the graph using slopes and discusses the domain and range of absolute value functions.

What is the primary focus when graphing absolute value functions?

• Determining the range

• Calculating the slope

• Understanding transformations

• Identifying the vertex

What effect does subtracting a number inside the absolute value function have?

• Moves the graph down

• Moves the graph up

• Moves the graph to the right

• Moves the graph to the left

Which transformation affects the horizontal position of the graph?

• Dividing the function by a constant

• Subtracting a number inside the function

• Adding a number inside the function

• Multiplying the function by a constant

Subtracting a number outside the absolute value function results in what transformation?

• Horizontal shift

• Vertical shift

• Stretching

• Reflection

Which transformation affects the vertical position of the graph?

• Adding a number inside the function

• Subtracting a number outside the function

• Adding a number outside the function

• Subtracting a number inside the function

Where is the vertex moved to after applying the transformations?

• (-5, 3)

• (5, -3)

• (0, 0)

• (3, 5)

What is the significance of the vertex in an absolute value graph?

• It is the turning point

• It is the highest point

• It is the lowest point

• It is the midpoint

What is the slope of the lines forming the V-shape in the graph?

• 1 over 1

• 3 over 1

• 1 over 2

• 2 over 1

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

• U-shaped

• V-shaped

• W-shaped

• S-shaped

What happens to the graph when the coefficient of x is 1?

• The graph forms a V-shape

• The graph becomes a straight line

• The graph becomes a parabola

• The graph forms a circle