General Form of Sine and Cosine Answers

Use the drop-down menus to describe the graph. The amplitude of the graph is . The equation of the midline is . The period of the function is . The function is shifted left. The function is shifted units up.

y = 1✔ y = 2y = 4

12✔ 3

✔ 0.512

0.51✔ 2

Use the drop-down menus to complete each statement. The function has the same amplitude as the function y = cos(x – 4) + 1. The function is a translation of the parent cosine function.

y = 2cos(x)✔ y = cos(x) – 3y = cos(2x)y = cos(-2x)

Graph the model, and then use the graph to determine on which day each event occurred.

Find a, b, and c for the function such that the graph of f matches the figure.

Which equation matches the description?

Use the drop-down menus to complete each statement.

The first occurrence of the highest temperature in the cycle is day with a temperature of °C. The first occurrence of the lowest temperature in the cycle is day with a temperature of °C.

Which equation models the data in the table?

Graph the model, and then use the graph to determine on which day each event occurred. The first day production exceeds 70 items is day . The last day in the first cycle that production exceeds 70 items is day .

Find a sine function that models the person’s blood pressure as a function of time (in minutes).

1024✔ 28

25✔ 287590

29✔ 3133

0✔ 4822