Ultimate Trig Transformations
- Author:
- jelsinger12
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.