Question

Y=-3cos(-x) построить график

Answer 1

Перевёрнутый  график косинуса, с областью значений функций от 3 до -3 (растянутый график вдоль оси Оу)

Answer 2

Solving for Y and Graphing Y = -3cos(-x)

To solve for Y and graph the function Y = -3cos(-x), we can start by understanding the general form of the cosine function and then apply the necessary transformations.

The general form of the cosine function is Y = A*cos(Bx - C) + D, where: - A is the amplitude (the maximum distance Y reaches from the x-axis). - B affects the period of the function (the length of one cycle). - C affects the phase shift (horizontal shift). - D affects the vertical shift.

In the given function Y = -3cos(-x), we can identify the following transformations: - A = -3 (amplitude) - B = -1 (period) - C = 0 (no phase shift) - D = 0 (no vertical shift)

Now, let's graph the function Y = -3cos(-x) to visualize its behavior.

To graph the function Y = -3cos(-x), we can plot points and observe the behavior of the cosine function with the given transformations. The negative sign in front of the x inside the cosine function indicates a reflection about the y-axis.

The general shape of the cosine function is a wave that oscillates between -1 and 1. With the given transformations, the amplitude is 3, and the period is 2π.

By applying the reflection about the y-axis due to the negative sign in front of x, the graph will be mirrored across the y-axis.

The graph will show the cosine function oscillating between -3 and 3, with no phase shift or vertical shift.

This graph can be visualized using graphing tools or software to accurately represent the behavior of the function Y = -3cos(-x).

Graph of Y = -3cos(-x)

By following these steps, we can understand the transformations applied to the cosine function and graph the function Y = -3cos(-x) accordingly.