Second one
Multiplying (1/2) by a factor of 4 produces a vertical stretch of 2
Adding 6 to 2 shifts the graph up 6 units and produces the "8"
So (1/2)sin (x) + 2 is transformed to 4(1/2)sin (x) + 2 + 6 = 2sin (x) + 8
Third one
Your answer of 4 sin (x) just increases the amplitude ( the "peaks" and "valleys" ) of the curve....it does not do anything to the shift
To shift the curve up by 4 units we need f(x) = 4 + sin (x) (the second answer )