Transformation of trigonometric functions

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=AS7THLj-OhI

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

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