Graph Translations and Transformations

The video tutorial explains how to translate the graph of a function by adding or subtracting values. It covers vertical translations, where adding a positive number moves the graph up and a negative number moves it down. It also discusses horizontal translations, where subtracting a number inside the parentheses moves the graph to the right, and adding a number moves it to the left. The tutorial provides examples to illustrate these concepts.

What is the primary focus when translating the graph of a function?

• Reflecting the graph over an axis

• Changing the shape of the graph

• Shifting the graph up, down, left, or right

• Rotating the graph

What happens to a graph when a positive number is added outside the function?

• The graph moves down

• The graph moves up

• The graph shifts to the right

• The graph shifts to the left

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

• The graph shifts to the right

• The graph moves down

• The graph moves up

• The graph shifts to the left

What is the general rule for vertical translations?

• Add or subtract a number outside the function

• Add a number inside the parentheses

• Subtract a number inside the parentheses

• Multiply the function by a constant

What is the effect of subtracting a positive number outside the function?

• The graph shifts to the left

• The graph shifts to the right

• The graph moves up

• The graph moves down

If a function is modified by adding 2 outside the parentheses, what is the effect on the graph?

• The graph moves 2 units down

• The graph shifts 2 units to the left

• The graph shifts 2 units to the right

• The graph moves 2 units up

If a function is modified by subtracting 3 outside the parentheses, what is the effect on the graph?

• The graph moves 3 units down

• The graph moves 3 units up

• The graph shifts 3 units to the right

• The graph shifts 3 units to the left

What is the result of adding 5 outside the function?

• The graph shifts 5 units to the left

• The graph shifts 5 units to the right

• The graph moves 5 units down

• The graph moves 5 units up

How does subtracting a number inside the parentheses affect the graph?

• It shifts the graph to the left

• It moves the graph down

• It moves the graph up

• It shifts the graph to the right

When a positive number is added inside the parentheses, what happens to the graph?

• It moves down

• It shifts to the left

• It moves up

• It shifts to the right