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

1 Answer
Eivind K.
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#

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