Horizontal dilation of functions with Worked Examples
In this video, we will be learning about the horizontal dilation of functions. We'll start by reviewing the basic of functions, their graphs, and the concept of dilation. We will then cover the method of applying horizontal dilation on a function and how it affects the function's graph. We will also discuss the use of the dilation factor and how it relates to the horizontal scaling of the graph of a function. We will also show how to use the dilation factor to find the new equation of the transformed function and how to use the graph to solve real-world problems. We'll also discuss the geometric interpretation of the horizontal dilation of functions and how it relates to the graph of the functions. We'll work through several example problems to help solidify your understanding of the material. By the end of this video, you will have a solid understanding of horizontal dilation of functions and be able to use it to solve problems confidently. This video is designed for the NSW HSC Advanced Mathematics Course.
0:00 Introduction
2:04 Example 1 - Describe the effect of the constant on the function
4:05 Example 2 - Find equation of a transformed function
5:06 Example 3 - Effect of dilation of a coordinate
6:15 Recap