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Function : y=4 sin(3x)-2

Determine the period of the function. How is it related to the question?

Determine the midline of the function. How is it related to the question?

Domain(interval notation) Range(interval notation)
Max______ Min______
Plot at least 2 cycles of the trigonometric graph correctly
Make sure you put arrows on the end of the graph
Make sure you accurately plot the zeros. list them below


___________________if this function even or odd? Explain how you know

Describe the transformations from y = sin (x)

Answer :

So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline. 
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°

Hope this helps, sorry i couldn't sketch the graph for you

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