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.