Question

How do you find the amplitude and period of a function `y = sin (4x)`?

Answer 1

Amplitude = 1 and period = `pi/2`.

Explanation:

The amplitude and period of y = a sin (bx + c ) are a and `(2pi)/b`.

Here, a = 1 and b = 4.

This sine wave oscillates between the crests at y = 1 and the lowest points at `y = -1`, periodically, with period `pi/2` for one full wave.