ANSWER
see attachment.
EXPLANATION
The graph of
[tex]f(x) = \sin( x) - 2[/tex]
is the graph of
[tex]f(x) = \sin(x) [/tex]
shifted down 2 units.
We first of all graph the basic sine function:.
y=sinx
and shift the graph down by 2 units to obtain the graph in the attachment.