Horizontal and Vertical Shifts

Additional Resources:

In this lesson, we will continue to learn about function transformations. Here, we will focus on horizontal and vertical shifts. A vertical shift is very straightforward and is simply a movement up or down based on the original graph. For a given function f(x), the graph of f(x) + k is shifted up k units if k is positive and down by the absolute value of k units if k is negative. When we come across horizontal shifts, the process is not as straightforward. These movements are left or right based on the original graph. When we have a function such as f(x), then f(x + h), will shift the absolute value of h units right if h is negative and h units left is h is positive.
Horizontal and Vertical Shifts:
YouTube - Video Khan Academy - Video
Text Lessons:
CK-12 - Text Lesson Utah EDU - Text Lesson
Khan Academy - Practice
+ Show More +