# How do you use the amplitude and period to graph of y=sin(x + (pi/2) )?

Mar 30, 2017

graph{y=sin(x+(pi/2)) [-10, 10, -5, 5]}

#### Explanation:

From the equation:

Since $x$ itself is not multiplied with any constant, the period of the curve is $2 \pi$ radians, or 360 degrees.

Meanwhile, $\left(+ \frac{\pi}{2}\right)$ is a phase shift of the curve by $\frac{\pi}{2}$ radians, in this case since it is positive, it is an advance shift (i.e. whole curve shifts to the left by $\frac{\pi}{2}$ radians.

Also, the entire sine function is not multiplied by any constant, so amplitude of the curve is 1.