Question

Find the sine function that is represented in the graph.

Answer 1

D.
`f(x)=2\sin x-1`

Explanation:

According to the graph given, it can be seen that it is obtained by applying translation to the graph of
`g(x)=\sin x`.

In particular, we see that the graph of g(x) is translated 1 unit downwards to obtain f(x).

So, the form of new function will be
`f(x)=\sin x-1`.

But, as we can see that the graph of
`g(x)=\sin x` has been stretched vertically 2 units.

These changes can be seen in the graph below.

So, the new function is
`f(x)=2\sin x-1`.