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Moderate

# Sine Graph with Stretch

ACTMAT-YFJSCJ

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?

A

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

B

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

C

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

D

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

E

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