Question

The graph of a function is shown. Which function is graphed?

Answer 1

Explanation:

Given is a graph whichis symmetrical about y =1 and periodical with period 2pi

Amplitude is 1

Since amplitude is 1,

sinx has coefficient 1

Since symmetrical about y =1

we have
`y=sinx +1`

There is no horizontal shift and also x has coefficient 1 since period = 2pi

In other words, this graph given is obtained as a transformation of y=sinx vertically up by 1 units.

Hence equation would be

y=sinx +1

Answer 2

A) y = sin(x) +1

Explanation:

The centerline of the function is at +1, so choices B and D are eliminated.

The function value is at the centerline at x=0, so choice C is eliminated.

The appropriate choice is A:

y = sin(x) +1