ERROR ANALYSIS Describe and correct the error in fi nding the vertical shift of a sinusoid with a maximum point at (3, -2) and a minimum point at (7, -8).

Answer 1

The error in finding the vertical shift of the sinusoid lies in the assumption that the average of the maximum and minimum values gives the vertical shift.

To find the vertical shift of a sinusoid, we need to find the midline, which is the average of the maximum and minimum values.

Given that the maximum point is (3, -2) and the minimum point is (7, -8), the midline can be found by averaging the y-coordinates of these points:
Midline = (maximum + minimum)/2 = (-2 - 8)/2 = -10/2 = -5

Therefore, the correct vertical shift of the sinusoid is -5 units.