Graph Transformations and Asymptotes

The video tutorial covers graphing a parent graph and applying transformations to it. It begins with setting up initial points and graphing the parent graph using a table. The tutorial then explains how to identify and apply transformations, such as shifting the graph left and down. It also discusses the concept of a horizontal asymptote and its importance in graphing. The tutorial concludes with final adjustments to the graph and a summary of the transformations applied.

What is the first step in graphing transformations?

• Finding the horizontal asymptote

• Identifying transformations

• Shifting the graph

• Graphing the parent graph

Which method was used to graph the parent graph?

• Using a ruler

• Using a calculator

• Using a graphing software

• Using a table

What does adding a number inside the function do to the graph?

• Shifts the graph down

• Shifts the graph left

• Shifts the graph up

• Shifts the graph right

How does the graph shift when a positive number is added inside the function?

• One unit left

• One unit right

• Three units down

• Three units up

What is the effect of adding a number outside the function?

• Shifts the graph left

• Shifts the graph right

• Shifts the graph up

• Shifts the graph down

What is a horizontal asymptote?

• A line the graph never crosses

• A point on the graph

• A vertical line

• A diagonal line

Where is the horizontal asymptote initially located?

• y = 2

• y = -1

• y = 1

• y = 0

What happens to the horizontal asymptote when the graph is shifted down?

• It stays the same

• It disappears

• It moves down

• It moves up

Why is it important to know the location of the horizontal asymptote?

• To determine the graph's color

• To find the graph's maximum point

• To know where the graph will cross

• To understand the graph's behavior

What is the final step in graphing transformations?

• Identifying transformations

• Finding the horizontal asymptote

• Graphing the parent graph

• Applying transformations