Suppose that g(x) = f(x) + 2. Which statement best compares the graph of g(x) with the graph of f(x)?

D) The graph of g(x) is the graph of f(x) shifted 2 units up

Step-by-step explanation:

Whatever is added or subtracted outside the parentheses represents vertical shift. This means that since we're adding 2, the vertical shift is up 2 units.

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2