Question

Match each graph with the correct cosine function based on its period.

Answer 1

Answer:

1. cos (x/2)

2.y=cos(4x)

3. y=cos(x)

4.y= cos(x/4)

Step-by-step explanation:

The graph of cosine function is sinusoidal and the y value ranges between -1 to 1.

the cosine function is periodic with general period P of 2π

if P< 2π then cosine graph experience a compression horizontally

if P>2π then cosine graph experience a stretch horizontally

for graph 1, the period is 4π hence the graph is stretched with period of 4π

for graph 2, the period is π/2 hence the graph is compressed with period of π/2

for graph 3, the period is 2π hence the graph is periodic with period of 2π

for graph 4, the period is 8π hence the graph is stretched with period of 4π

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