Graph Transformations and Translations

The video tutorial introduces transformations, focusing on horizontal and vertical translations. It defines key terms like relation, domain, and range, and explains how to identify them in graphs. The concept of transformation is explored, including mapping and image points. The tutorial demonstrates translations using function notation and applies these transformations to graphs, providing examples and practice exercises.

What is a relation in the context of transformations?

• A transformation of a graph

• A line on a graph

• A single point on a graph

• A set of ordered pairs

Which of the following best describes the domain of a function?

• The set of all X values

• The set of all Y values

• The set of all points on a graph

• The set of all transformations

How can you identify the range of a graph?

• By looking at the X values

• By looking at the Y values

• By looking at the ordered pairs

• By looking at the transformations

What is a transformation in the context of this lesson?

• A single point on a graph

• A set of ordered pairs

• A line on a graph

• A change in the shape or position of a graph

What does mapping refer to in transformations?

• Identifying the domain of a graph

• Relating one set of points to another

• Changing the shape of a graph

• Identifying the range of a graph

What is a translation in graph transformations?

• A slide transformation that shifts the graph

• A change in the shape of the graph

• A reflection of the graph

• A rotation of the graph

How does a vertical translation affect a graph?

• It moves the graph left or right

• It changes the shape of the graph

• It moves the graph up or down

• It rotates the graph

What happens to a graph when a positive number is added in a vertical translation?

• The graph moves right

• The graph moves left

• The graph moves up

• The graph moves down

In a horizontal translation, what does a negative H value indicate?

• The graph moves left

• The graph moves down

• The graph moves right

• The graph moves up

How do you write a new function after a vertical translation?

• Divide the function by a constant

• Multiply the function by a constant

• Add or subtract a number from the Y value

• Add or subtract a number from the X value