Question

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

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

Answer 1

@Directrix @ganeshie8

Answer 2

I believe this answer is C. To me this looks like physics work or chemistry work since we work with waves a large amount. The amplitude is 4 since you must move up 4 units and midline must be 1.

Answer 3

amplitude is the max deviation from the mid line

Answer 4

this is algebra 2

Answer 5

look at the given wave and can you guess the horizontal midline ?

Answer 6

3?

Answer 7

@ganeshie8

Answer 8

what is 3 ?

Answer 9

the horizontial midline

Answer 10

@ganeshie8

Answer 11

Nope, y = 3 is the line that is at the top of the wave

Answer 12

y = -1 is at the bottom of the wave

Answer 13

try again

Answer 14

what is a horizontial midline?

Answer 15

that is a good question

Answer 16

as the name says, it is a "flat" line which pass through the middle of the wave

Answer 17

so would it be pi?

Answer 18

or 1?

Answer 19

Yes, it would be y = 1

Answer 20

horizontal line goes from left to right

Answer 21

oh ok yeah

Answer 22

so you have figured out that y = 1 is the mid line

see if you can eliminate few options based on above observation

Answer 23

we can eliminate A and D @ganeshie8

Answer 24

Very good. Lets find amplitude next maybe

Answer 25

amplitude is the max deviation from the mid line

Answer 26

and we know that the mid line here is y = 1

Answer 27

Can you guess the amplitude ?

Answer 28

3?

Answer 29

from the highest point of the curve to midline it drops 3

Answer 30

you need to find the "distance" between midline and the highest point

Answer 31

count the number of "grids" between midline and the highest point

Answer 32

sorry i meant to say 2

Answer 33

yes thats what i did

Answer 34

Perfect!

Answer 35

so it will be B because we can eliminate c right?

Answer 36

@ganeshie8 ?

Answer 37

Looks good !

Answer 38

Thank you !!!!!