What is the period and amplitude for #y=2 sin x#?

1 Answer
Truong-Son N.
Jun 11, 2015

The general formula for #sinx# is:

#Asin(kx+phi) + h#

#A# is the amplitude
#k# is some coefficient
#phi# is the phase shift or horizontal shift
#h# is the vertical shift

#y = 2sinx# lines up to be #A = 2#, #k = 1#, #phi = 0#, and #h = 0#.

The period is defined as #T = (2pi)/k#, so therefore, the period is just #2pi#. The amplitude, of course, is #2#, since #A = 2#.

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