Graphing Sine and Cosine

Question 1

Complete the following statements for the cosine function shown in the graph.The minimum value is .

Revolt · Accepted Answer

–0.75

Question 2

The maximum value is .

Revolt · Accepted Answer

0.75

Question 3

The amplitude is .

Revolt · Accepted Answer

0.75

Question 4

An equation for this function is .

Revolt · Accepted Answer

y = 0.75cos(x)

Question 5

The graph shows the function .

Revolt · Accepted Answer

y = sin(x) – 6

Question 6

Identify the transformations needed to graph the cosine function y = –0.5cos(x) – 3 from the parent cosine function. Check all that apply.

Revolt · Accepted Answer

vertical compression by a factor of 0.5; vertical translation 3 units down; reflection across the x-axis

Question 7

The function rule y = –0.5cos(x) – 3 describes graph shown.

Revolt · Accepted Answer

c

Question 8

The function rule y = cos(x) + 2 describes graph shown here.

Revolt · Accepted Answer

b

Graphing Sine and Cosine Answers