Question

What is the equation of the graph below?

On a coordinate plane, a curve goes through (0, 0). It has a maximum of 1 and a minimum of negative 1. It goes through one cycle at StartFraction 2 pi Over 3 EndFraction
y = sine (StartFraction x Over 3 EndFraction)
y = sin(3x)
y = sin(0.3x)
y = sine (StartFraction 2 x Over 3 EndFraction)

Answer 1

Answer:

B

Step-by-step explanation:

just took the test on edge

Answer 2

By using the given information, the period particularly, we conclude that the function is y = sin(3x).

What equation describes the given graph?

First, we know that:

• The function goes through (0, 0).
• The maximum is 1
• The minimum is -1

With these 3 considerations, we know that the function is something like:

y = sin(k*x)

So we only need to find the value of k.

We also know that the period of the function is: (2/3)*pi

This means that:

sin(k*(x + (2/3)*pi) = sin(k*x)

Remember that the period of the sine function is 2pi, then:

k*(2/3)*pi = 2pi

k/3 = 1

k = 3

Then the function is:

y = sin(3x).

If you want to learn more about sine functions, you can read:

https://brainly.com/question/8120556