Question

Use the graph below to answer the question that follows:

cosine graph with points at 0, 3 and pi, negative 5 and 2 pi, 3

What are the amplitude, period, and midline of the function?

Amplitude: 4; period: 2π; midline: y = −1
Amplitude: 8; period: 2π; midline: y = 1
Amplitude: 8; period: π; midline: y = −1
Amplitude: 4; period: π; midline: y = 1

Answer 1

you have a graph, so all the questions get answered from your eyeballs, not from an equation or some kind of algebra

Answer 2

the period is the length over which the function makes one complete cycle. take a look and see where it is at its peak, and the next peak. the length of of that interval (on the x axis) is the period

Answer 3

the amplitude is half the distance from the lowest most point on the graph to the upper most point

Answer 4

thank you so much

Answer 5

yw
if you would like me to check your answer let me know

Answer 6

amplitude is 4 correct?

Answer 7

yes
from -5 to 3 is 8 units, half of that is 4

Answer 8

so for period its the highest arc to the lowest arc

Answer 9

how do i find midline?

Answer 10

it is half way between -5 and 3

Answer 11

as the name suggests it is the horizontal line that is "midway" between the max and the min

Answer 12

and no, the period is not from the highest to lowest

Answer 13

okay so the answer is A?

Answer 14

cause the midline is -1

Answer 15

yes, a rare A

Answer 16

thank you i appreciate it

Answer 17

yw