Question

Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below.

Answer 1

we conclude that the graphed equation is:

y = 4*cos(pi*x)

Which trigonometric equation is the one in the graph?

First, we can see that the graphed function is even, so we know that it wiill be a cosine.

We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.

Then we have something like:

y = 4*cos(b*x)

To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2

Then:

b*1/2 = pi/2

b = pi

Finally, we conclude that the graphed equation is:

y = 4*cos(pi*x)

If you want to learn more about trigonometric equations:

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Answer 2

The trigonometric equation from the given graph will be expressed as; y = 4 sin 2x

How to Interpret a Trigonometric Graph?

From the trigonometric general form of y = a sin bx, we can say that;

a is amplitude

period = 2π/b

Now, from the graph it is clear that the amplitude is 4 because that is the highest and also lowest point of the curve. Thus, a = 4

Now, the period of the graph will be 2 because from definition of period of a trigonometric graph function we can see that period = 2.

Thus, our trigonometric equation from the given graph will be expressed as; y = 4 sin 2x

Read more about Trigonometric Graph at; brainly.com/question/22068269

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