Graphing Sine and Cosine

Question 1

Question 1

Revolt · Accepted Answer

6; 7; 8

Question 2

Gum’s maximum height: ft

Revolt · Accepted Answer

8

Question 3

c = ,

Revolt · Accepted Answer

8

Question 4

d = ,

Revolt · Accepted Answer

7

Question 5

Find the following (take ground level to be 0):Gum’s minimum height: ft Gum’s maximum height: ft

Revolt · Accepted Answer

Part 1: 6; Part 2: 8

Question 6

How far does the gum travel in one revolution of the bicycle wheel? ft

Revolt · Accepted Answer

2pi

Question 7

a = [___], b = [___], c = [___], d = [___], e = [___]

Revolt · Accepted Answer

Part 1: 6; Part 2: 7; Part 3: 8; Part 4: 7; Part 5: 6; 1, 3, -2, -12, -8

Question 8

Graph the following points on the graphing calculator:Explain how to use the graph to write an equation to model the gum’s height. Be sure to identify the pattern of the points in your explanation, and identify the values of a and k.

Revolt · Accepted Answer

The pattern is min-zero-max-zero-min, which is the pattern for a cosine function of the form y = acos(x) + k, but is reflected over the x-axis (so a < 0). The amplitude is |a|, so a = –1 and |a| = 1. The midline is exactly between the max and the min, y = (6 + 8)/2 = 7, so k = 7. The equation is y = –cos(x) + 7.

Question 9

b = ,

Revolt · Accepted Answer

7

Question 10

Check all that you included in your answer.

Revolt · Accepted Answer

The pattern is min-zero-max-zero-min, which is the pattern for a cosine function of the form y = acos(x) + k, but is reflected over the x-axis (so a < 0).; The amplitude is |a|, so a = –1 and |a| = 1.; The midline is exactly between the max and the min, y = (6 + 8)/2 = 7, so k = 7.; The equation is y = –cos(x) + 7.

Graphing Sine and Cosine Answers

More from this Course

TRY EDGENUITY HACKS