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Chapter 6: Q. 30 (page 409)

In Problems 21鈥�30, match the given function to one of the graphs (A)鈥� (J).

y=-2sin12x

Short Answer

Expert verified

The graph of the given function is graph (D)

Step by step solution

01

Step 1. Given information 

The trigonometric function is:

y=-2sin12x

02

Step 2. To determine the amplitude and period of the sinusoidal function.  

By comparing given function -2sin12xwith standard sinusoidal function Asin蝇x

We get amplitudeA=-2

Time period is T=2蟺蝇T=2蟺12T=4蟺

So the graph of the given function will have time period 4蟺and amplitude 2

03

Step 3. To find value of function at y-axis. 

At y-axis

x=0

When x=0

then y=-2sin12.0y=-2sin0y=-2

Graph will pass through (0,-2)

Now look at the given graphs from A-J we can see that

graph (D) has amplitude 2 , time period 4蟺and passing point (0,-2)

So the graph for given function is graph (D)

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