How do you use the amplitude and period to graph #f(x) = 4 sin(x -pi/2 )#?

1 Answer
Jan 22, 2018

amplitude: 4
period: 2 #pi#

Explanation:

graph{4sin(x-pi/2) [-10, 10, -5, 5]}
the amplitude is how high the graph will so since it is 4 the graph will go up 4 and down 4. The graph will shift right #pi/2#, making the beginning of the sin wave move right. and x is your period. The period is always #2pi# divided by the x value. Since there is no number in front of x, it is considered a 1. Therefore the period is #2pi#.