What is your best guess as to how the given function 𝑦=3 sin 1 2 (𝜃 − 𝜋 2 )+2 is changed from 𝑦=3 sin 1 2 𝜃 ? What about 𝑦=3 sin 1 2 (𝜃 − 𝜋 2 )+2 is exactly the same as 𝑦=3 sin 1 2 𝜃 ?

12-8 Translations of Trig Graphs Graph horizontal translations of trigonometric graphs and find phase shifts. Graph vertical translations of trigonometric graphs.

Translation: when a figure is moved from one location to another on the coordinate plane without changing its orientation. Phase shift: a horizontal translation for periodic functions.

State the amplitude, period, and phase shift for the function State the amplitude, period, and phase shift for the function. Then graph the function.

State the amplitude, period and vertical shift of the midline for the function.

http://youtu.be/YVQbGZ9KfFM  for sin and cos

https://youtu.be/U3D2gc_dOgI for tan and cot https://youtu.be/QJMzXXLGP9k for csc and sec

State the amplitude, period, phase shift, and vertical shift State the amplitude, period, phase shift, and vertical shift. Then graph.

State the amplitude, period, phase shift, and vertical shift State the amplitude, period, phase shift, and vertical shift. Then graph.