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

1 Answer
Nov 7, 2015

Amplitude: 1
Period: 2

Explanation:

Sin functions are written on a common form:
A sin(bx + c) + d

Where A signifies the amplitude ("top value - bottom value"/2)
b affects the frequency
c signifies the horisontal shift
d signifies the vertical shift

You can find the amplitude by looking at the coifficient before "sin". In this case, the amplitude is 1.

The period is defined by (2pi)/b
In this case: (2pi) / pi = (2cancel(pi))/(cancel(pi)) = 2