# Ultimate Trig Transformations

## Click functions you want and drag a, b, c, or d to view transformations, you may use input for c, click texts for information

1. What does changing a do to the graph of sine and cosine? Let b=1, c=0, d=0. a)make a = 2, find amplitude. b)make a = 3, find amplitude. c)make a = -4, find amplitude. d)make a = -5, find amplitude. d) what is a formula to find the amplitude of a sinusoid? e) what happens to the wave when a is negative? 2. What does changing b do to the graph of sine and cosine? Let a =1, c =0, d=0 a)make b = 2, find period. b) make b = 3, find period. c) make b = 4, find period. d) make b = -2, find period. e) make b = -3, find period. f) what is a formula to find the period of a sinusoid? g) what happens to the wave when b is negative? 3. What does changing c do to the graph of sine and cosine? Let a=1, b=1, d=0 a) If c>0, how does this affect sinx and cosx? b) If c<0, how does this affect sinx and cosx? 4. What does changing d do to the graph of sine and cosine? Let a=1, b=1, c=0. a)If d>0, how does this affect sinx and cosx? b)If d<0, how does this affect sinx and cosx? 5. Based on what you have discovered, describe in detail what happens to sinx if f(x) = -3 sin[(1/2)(x + pi)] + 7. Find amplitude and period. 6. What happens to cosx if g(x) = (1/3) cos[-2(x - (pi/2))] - 5 ? Find amplitude and period.