ANSWER
[tex]y = 2 \: \sin(x) [/tex]
EXPLANATION
A basic sine curve has equation in the form:
[tex]y = a \: \sin(x) [/tex]
Where 'a' is the amplitude.
In this case a=2 because the amplitude is 2.
[tex]y = 2 \: \sin(x) [/tex]
For a transformed sine function, the general equation is:
[tex]y = a \: \sin(bx + c) + d[/tex]
where a=2 is still the amplitude
[tex]y = 2 \: \sin(3x + \pi) [/tex]
This is also a sine function with an amplitude of 2.
Others include:
[tex]y = 2 \: \sin(x + 1) [/tex]
[tex]y = 2 \: \sin(4x - \pi) [/tex]
e.t.c
