Question

Постройте график функции y=3sin*x/2

Answer 1

График похож на обычную синусоиду, только втрое больше амплитуда и вдвое шире шаг.

Answer 2

Graph of the Function y = 3sin(x/2)

To graph the function y = 3sin(x/2), we can start by understanding the general shape of the sine function. The sine function oscillates between -1 and 1 as x increases. The amplitude of the function is 1, and the period is 2π.

In the given function y = 3sin(x/2), the amplitude is multiplied by 3, which means the oscillations will be stretched vertically by a factor of 3. The period is divided by 2, which means the oscillations will be compressed horizontally by a factor of 2.

Let's plot the graph of the function y = 3sin(x/2) to visualize it.


The graph shows the function y = 3sin(x/2) with the vertical stretching and horizontal compression. The amplitude of the function is 3, and the period is π.

Please note that the graph is a visual representation and may not be to scale. It is always recommended to use graphing software or calculators to obtain accurate and precise graphs.

I hope this helps! Let me know if you have any further questions.