Question

Choose the function whose graph is given by:

Answer 1

The answer to your question is letter A.

Explanation:

A. This graph shows that is the sine graph, but it was moved to units up.

B. This is not the equation of the graph because the sine is negative then the graph should be inverted.

C. This is not the equation of the graph because the cosine graph starts in 1.

D. This is not the equation of the graph because it is cosine negative and the graph is different.

Answer 2

`y=sinx +2`

Explanation:

We have to choose the function whose graph is given.

A.
`y=sinx+2`

Substitute x=0 then

`y=0+2=2`

Therefore, y- intercept is at y=2.

Substitute
`x=(\pi)/(2)`

`y=sin(\pi)/(2)+2=1+2=3` because (
`\sin(\pi)/(2)=1`)

Substitute
`x=-(\pi)/(2)`

Then we get

`y=sin(-(\pi)/(2))+2=-sin(\pi)/(2)+2=-1+2=1`

`sin (-x)=-sinx`

Therefore, given graph is
`y=sinx +2`

B.
`y=-sinx+2`

When Substitute
`x=-(pi)/(2)`

Then,
`y=-sin(-(\pi)/(2))+2=sin(pi)/(2)+2=1+2=3`

But in graph at
`x=-(pi)/(2)` , y=-1

So,It is not true.

C.
`y=cosx+2`

When x=0

then we get
`y=cos0+2=1+2=3` (cos 0=1)

But in graph y - intercept at y=2

So, it is false.

D.
`y=-cosx+2`

Substitute x=0

Then, we get

`y=-cos 0+2=-1+2=1`

So, it is false.

Answer:
`y=sinx +2`