Question

Choose the function whose graph is given by (graph will be inside!)

InPool=Pool1

A. y = 3sin(x - 2) + 1

B. y = 6sin(x - 2) - 2

C. y = 3cos(x - 3) + 1

D. y = 3sin(x - 2) + 2

***im not sure :( please explain?

Answer 1

graph!

Answer 2

It goes from a low of -2 to a high of 4 so the centerline is (-2+4)/2=1

Answer 3

So it has to be either a or c

Answer 4

A plain sine curve y = sin(x) goes from y = -1 to y = 1. That means an amplitude of 2.
When you modify it by multiplying by a number such as y = a*sin x, you increase its amplitude to 2a.

Answer 5

oh okay :)

so if it's amplitude of 2, would the answer be this then?
A. y = 3sin(x - 2) + 1

?? is that it? ;/

Answer 6

Since this graph goes from y = -2 to y = 4, the amplitude is 6, so a = 3. You need
y = 3*sin(x)
But now you also have to deal with the fact that it is also shifted horizontally and vertically.

Answer 7

It's amplitude is 3.

Answer 8

okay, so because of that, the answer is A. y = 3sin(x - 2) + 1 right?

and amplitude is the part b4 sin right?

Answer 9

Since instead of going from y = -3 to y = 3, it goes from y = -2 to y = 4, that means it has a vertical shift of +1.
Thar means y = sin(x) + k, where k = 1
So now you already have y = 3*sin(x) + 1
Now you need to account for the horizontal shift.

Answer 10

So it all comes down to whether it is a sin that has been moved right 2 or a cosine that has been moved right 3

Answer 11

okay :) how do i do that? :/

Answer 12

find the horizontal shift i mean?

Answer 13

is the horizontal shift 2?? because of this?

y = -2 to y = 4

Answer 14

What you need to do is draw the centerline which is y = 1. Then you will be able to determine the horizontal displacement.

Answer 15

okay, there's an equation i need to follow right?

Answer 16

It appears to me that it is a sine that has been moved 2 units to the right.

Answer 17

No. There is not a formula for that. I think you are talking about the formula for finding the period.

Answer 18

okay, so answer A? y = 3sin(x - 2) + 1

because amplitude matches: 3
and moves to the right 2 units: -2

:) did i get that?

and ohhh yeah! the period! my bad!!

Answer 19

yes

Answer 20

awesome! :) yayy :D thanks!! @Mertsj can u pls give @mathstudent55 a medal? i can only give one :(

Answer 21

Yes, I agree with @Mertsj When you bring down the curve 1 unit, the point that is currently (2, 1) becomes (2, 0). Since sin(x) goes through (0, 0), and this curve goes through (2, 0), the horizontal shift is 2 to the right.
That is accounted for in y = sin(x - h), where h is the horzontal shift.
So putting it all together you get
y = 3*sin(x - 2) + 1

Answer 22

thanks guys :)

Answer 23

wlcm

Answer 24

wlcm