Name:___________________________ Algebra 2/Trigonometry Ms. Williams

Trig Graphs Cheat Sheet

Review of Amplitude and Vertical Shift Amplitude = Amplitude Formula = Midline/Vertical Shift Formula = Part a: Identify Amplitude and Vertical Shift. 1) gf 2)

Period and Frequency

Frequency is represented as the letter “____”. It means the number of ______________ a trig function completes between ____ and ____.

Frequency Formula = ____ =

Period is the length of the smallest domain for a _______________________________.

Period Formula = ____ = Part a: Identify Frequency and Period for each.

1) Fd 2) 3) Part b: Identify Frequency and Period for each, and then write the equation. 4) 5) 6) 7) 8) 9)

Equations of Sine and Cosine Curves Pattern: __, __, __, __, __ Pattern: __, __, __, __, __

Find the equation given the information provided. 16. Find an equation for a sine function that has amplitude of 4, period of 180 , a y-intercept of -3, and a

phase shift of

17. Find an equation for a cosine function that has amplitude of 4, period of 270 , a y-intercept of 5, and a

phase shift of

18. Write the equation for each graph below. Use the Sine function Use the Cosine function