Respuesta :

absor201

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

!

nightmaremangle68

Answer:

1. y=cos x/2

2. y=cos4x

3.This graph will not be used.

4. y=cos x/4

There should be a fifth graph to this problem. This remaining graph (that is not the first one in the photo) should be y=cos x. This graph should pass through the point ([tex]\frac{\pi }{2} ,0[/tex]) ← This is the point on the 5th graph that passes right before the 2.

Explanation:

If you enter these equations in the Desmos graphing calculator, you get exactly these answers, so that is your proof. (also, see below image-this graph shows for y=cos x)

~Kicho [nm68]

Ver imagen nightmaremangle68

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