Algebra II: Transformations: Translating Functions

Objectives

• Students will vertically translate a function by adding a constant and write the appropriate symbolic representation for the translated function
• Students will horizontally translate a function by adding a constant and write the appropriate symbolic representation for the translated function
• Students will identify the effect of a and b in y = f(x – a) + b on the graph of a general function y = f(x)

Vocabulary

• Transformations
• Horizontal/vertical translations

About the Lesson

This lesson involves translating different types of function graphs using sliders. As a result, students will:

• Understand how adding a constant outside the function moves the graph of a function up and down.
• Discover how adding a constant inside the function moves the graph of a function left and right.