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The graph of $y = \sin x$ is modified by stretching it vertically by a factor of 4 and stretching it horizontally by a factor of 2.

Which of the following represents the new function?

$ {y=4\sin { (2x) } } $

$ {y=4\sin { (\frac { 1 }{ 2 } x) } } $

$ {y=2\sin { (4x) } } $

$ {y=2\sin{ (\frac { 1 }{ 4 } }x)} $

$ {y=2\sin { (x) } } $