Question

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

Answer 1

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 `2pi` radians, or 360 degrees.

Meanwhile, `(+pi/2)` is a phase shift of the curve by `pi/2` radians, in this case since it is positive, it is an advance shift (i.e. whole curve shifts to the left by `pi/2` radians.

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