Question

Choose the function whose graph is given by:

A. y=3sin(x-2)+1
B. y=3cos(x-3)+1
C. y=6sin(x-2)-2
D. y=3sin(x-2)+2

Answer 1

A

Explanation:

a site called desmos, its a graphing calculator and you should use it :)

Answer 2

The function whose graph is given below is:

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

Explanation:

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Hence, we will check which function satisfies this point.

B)

`y=3\cos(x-3)+1`

At x=2 we have:

`y=3\cos (3-2)+1\\\\i.e.\\\\y=3\cos(1)+1\\\\y>1`

Hence, option: B is incorrect.

C)

`y=6\sin (x-2)-2`

when x=2 we have:

`y=6\sin (2-2)-2\\\\i.e.\\\\y=6\sin 0-2\\\\i.e.\\\\y=-2\\eq 1`

Hence, option: C is incorrect.

D)

`y=3\sin (x-2)+2`

when x=2 we have:

`y=3\sin (2-2)+2\\\\i.e.\\\\y=3\sin 0+2\\\\i.e.\\\\y=2\\eq 1`

Hence, option: D is incorrect.

So, we are left with option: A

A)

`y=3\sin (x-2)+1`

when x=2

we get: y=1

Similarly all the other points are satisfied.

Also, the graph of this function matches the given graph.