Understanding periodic functions and their properties
What is the period of y = sin(x)?
Sine function completes one full cycle every 2π radians
The amplitude of y = 3cos(x) is:
Amplitude is the absolute value of the coefficient: |3| = 3
What is the range of y = sin(x)?
Sine oscillates between -1 and 1 inclusive
If y = sin(2x), what is the period?
Period = 2π/|b| where b is coefficient of x. Here 2π/2 = π
Which transformation changes y = cos(x) to y = cos(x - π/2)?
y = cos(x - h) shifts graph right by h units