Transformation of trigonometric functions

TheMathCoach explains how to determine the transformation factors for the trigonometric functions sine and cosine from the graph and from the symbolic expression. The video also covers: How to graph trigonometric functions, How to determine the Amplitude, Period, Phase shift and Vertical shift for a trigonometric functions. There are examples included for each concept, to help clarify it while allowing the viewers to test their new knowledge.

SUPPORT
Consider subscribing and liking if you enjoyed this video or if it helped you understand the subject. It really helps me a lot.

LINK TO THE PROGRAM:
The program I used in this video is made with Geogebra and can be found here: https://ggbm.at/xg6T3xYF

CONCEPTS FROM THE VIDEO
► Trigonometric function:
Function of an angle expressed as a ratio of two of the sides of a right-angled triangle containing the angle.

► Transformation of a Trigonometric Function:
These factors affects the trigonometric functions graph and are the following: Amplitude, Period, Phase shift and Vertical Shift.

► Amplitude:
Half the difference between the minimum and maximum values of the trigonometric function. Can also be explained as the magnitude of the difference between the functions extreme values.

► Period:
The interval over which the values of a periodic function recur. The trigonometric functions are included in the periodic functions.

► Phase Shift:
Also known as the horizontal shift and is the distance the trigonometric function has been moved in the x-direction.

► Vertical Shift:
Is the distance the function has been moved in the y-direction.

TIMESTAMPS
Introduction - 0:00
Amplitude - 1:04
Period - 1:31
Vertical Shift - 1:54
Phase Shift - 2:12
Example: Determine the transformation factors from the graph - 2:40
Example: Determine the transformation factors from the symbolic expression - 4:25

SOCIAL
► Follow me on Youtube: http://bit.ly/1NQhPJ9
► Follow me on Twitter:   / the_mathcoach  
► Follow me on Facebook:   / themathcoach13  
► Follow me on Google+: http://bit.ly/1DWqGsr

SOURCE
► Diskret matematik och diskreta modeller, (2002), Kimmo Eriksson, Hillevi Gavel
► Analys i en variabel, (2001), Arne Persson, Lars-Christer Böiers