Answer:
D. [tex]f(x)=2\sin x-1[/tex]
Step-by-step explanation:
According to the graph given, it can be seen that it is obtained by applying translation to the graph of [tex]g(x)=\sin x[/tex].
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 [tex]f(x)=\sin x-1[/tex].
But, as we can see that the graph of [tex]g(x)=\sin x[/tex] has been stretched vertically 2 units.
These changes can be seen in the graph below.
So, the new function is [tex]f(x)=2\sin x-1[/tex].
