Graphing 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, moving it right and down. The tutorial demonstrates plotting the graph using a vertex and slopes, forming a V-shape. It concludes with a discussion on the domain and range of absolute value functions, highlighting that the domain includes all real numbers, while the range starts from a minimum value and extends upwards.

What is the primary focus when graphing absolute value functions?

• Identifying the vertex

• Understanding transformations

• Calculating the slope

• Finding the domain

What happens to the graph when a number is subtracted inside the absolute value?

• It shifts right

• It shifts up

• It shifts down

• It shifts left

Which transformation moves the graph to the right?

• Adding inside the absolute value

• Subtracting inside the absolute value

• Adding outside the absolute value

• Subtracting outside the absolute value

What is the effect of subtracting a number from the x-value inside the absolute value?

• Moves the graph down

• Moves the graph left

• Moves the graph up

• Moves the graph right

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

• Shifting the graph up

• Shifting the graph down

• Shifting the graph left

• Shifting the graph right

What is the effect of subtracting a number from the entire function?

• Moves the graph left

• Moves the graph down

• Moves the graph up

• Moves the graph right

After applying transformations, where is the new vertex located?

• (0, 0)

• (5, -3)

• (-5, 3)

• (3, 5)

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

• 1 over 2

• 2 over 1

• 1 over 1

• 2 over 2

What is the effect of a positive coefficient on the slope of the graph?

• It makes the graph steeper

• It makes the graph flatter

• It inverts the graph

• It does not affect the graph

How does the graph change when the coefficient of x is negative?

• It reflects over the y-axis

• It reflects over the x-axis

• It shifts down

• It shifts up