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ACT® Math

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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) } } $