Question

What is the amplitude, period and the phase shift of `y=-3sin 5x`?

Answer 1

Amplitude is 3, period is `(2pi)/5`, and the phase shift is 0 or (0, 0).

Explanation:

The equation can be written as `a sin(b(x-c)) + d`. For sin and cos (but not tan) `|a|` is the amplitude, `(2pi)/|b|` is the period, and `c` and `d` are the phase shifts. `c` is the phase shift to the right (positive `x` direction) and `d` is the phase shift up (positive `y` direction). Hope this helps!