Sinusoidal solutions

By Ramandeep Mann
f(x) = a sin b (x - c ) + d OR f(x) = a cos b (x - c ) + d

a = amplitude

b = affects the period

c = horizontal shift

d - vertical shift

Steps :

1. Identify the middle axis. This

determines if there is any up or down shifting - the d value.

2. Find the amplitude - the a value.

3. Determine the period and then calculate the b value.

4. Identify the type of original wave - either y = sin x or y = cos x.

5. Create the first equation including the a , b ,c and d values.

7. Double check the horizontal shift symbols.

8. Double check the symbol of the a value

in the equation