Question

Use the graph of the sine function y = 2 sin θ shown below.


a. How many cycles occur in the graph?
b. Find the period of the graph.
c. Find the amplitude of the graph.

Answer 1

this is the graph

Answer 2

How many cycles occur in the graph?

Answer 3

1 actually, we start at y = 0, go up, then come back down...then come back up again back to the starting point y = 0 and this is where the first cycle ends (to repeat over again)

Answer 4

how long is this cycle?

Answer 5

o...what do you mean how long

Answer 6

where does the cycle start and where does it end

Answer 7

starts at y 0 and ends on 2

Answer 8

x = 0 and x = 2 actually, but you have the right idea

so the cycle is 2 units long

this means that the period is 2

Answer 9

ie, it will repeat every 2 units

Answer 10

oh i meant 2pi, not 2

Answer 11

the cycle is 2pi units long

so the period is 2pi

Answer 12

o ok i get it now...so how do i find the amplitude on the graph

Answer 13

the amplitude is the distance from the center to the peak or valley of the graph

Answer 14

um is it 2 or -2 or something

Answer 15

2, distance is always positive

Answer 16

here's a visual of what you're finding

Answer 17

o ok so the amplitude will always be positive

Answer 18

yes

Answer 19

ok thank you sooo much for all your help

Answer 20

yw