# How do you find the amplitude and period of a function y = sin (πx - 1/2)?

The amplitude of a sine or cosine function is found as a multiplier "a" in the form: y = $a \cdot \sin \left(b \left(x - c\right)\right) + d$. Since this function does not have a multiplier other than 1, then the amplitude is 1.
The period of a sine or cosine function is calculated by using $\frac{2 \pi}{b}$ or ${360}^{o} / b$ depending on whether you wish to respond in radians, or degrees. This equation has $\pi$ as a multiplier on the angle, x, making the period equal to 2.