Note
that the value of a is 1, so the
amplitude
of
this graph is 1. The period is .
The phase
shift
we can find by setting the argument (2x-3) equal to zero.
,
,
indicating a shift of 1.5 units
to the right (If the value of x were -1.5, this would indicate
a shift of 1.5 units to the left).
The amplitude
of this graph is 0.5. The period is = roughly 25.1327. There is no phase shift.
The amplitude of this graph is
3.7. The period is . The
phase shift is a bit tricky on this one because we have a horizontal
flip making life complicated. In order to sort out what is going
on, rearrange the argument
. Now factor out the -1 that
indicates our horizontal flip...
.
Now we can find our phase shift by solving
,
so
,
.
Thus our phase shift is
units
to the right.