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

1 answer:

4 0

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

You might be interested in

Is a square a type of rectangle or is a rectangle a type of square? Explain why or why not?

GaryK [48]

Answer:

A square is a rectangle.

Step-by-step explanation:

A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Which means, every square is a rectangle because it is a quadrilateral with all four angles right angles.

4 0

3 years ago

Read 2 more answers

These angels are equal. What are they called?

Yanka [14]

Acute angles because they are less then 90 degrees which is a right angle.

7 0

4 years ago

A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a

RideAnS [48]

Answer:

720 possible ways