Question

Построить график функции : 1. y = 1,5 tg ( - 2x ) 2. y = sin (x - pi ) + 2,5 Помогите пожалуйста решить)

Answer 1

2. y=sin(x-π)+2,5
y=sin(-(π-x))+2,5
y=-sin(π-x)+2,5
y=-sinx+2,5

Answer 2

Graphing the Functions

To graph the functions y = 1.5 * tg(-2x) + 2 and y = sin(x - π) + 2.5, we can follow these steps:

1. Determine the range of x-values over which you want to graph the functions. 2. Calculate the corresponding y-values for each x-value. 3. Plot the points (x, y) on a coordinate plane. 4. Connect the points to create the graph of the function.

Let's go through these steps for each function.

# Graph of y = 1.5 * tg(-2x) + 2

To graph the function y = 1.5 * tg(-2x) + 2, we can start by determining the range of x-values. Let's choose a range of -π to π for simplicity.

Now, we can calculate the corresponding y-values for each x-value in the chosen range. We can use a table of values or a graphing calculator to do this. Here are some calculated points:

| x | y = 1.5 * tg(-2x) + 2 | | --- | -------------------- | | -π | 3.5 | | -π/2| 2 | | 0 | 0.5 | | π/2 | 2 | | π | 3.5 |

Plotting these points on a coordinate plane and connecting them, we get the graph of the function y = 1.5 * tg(-2x) + 2.

# Graph of y = sin(x - π) + 2.5

To graph the function y = sin(x - π) + 2.5, we can follow the same steps as before.

Let's choose the same range of -π to π for the x-values.

Calculating the corresponding y-values, we get:

| x | y = sin(x - π) + 2.5 | | --- | -------------------- | | -π | 2.5 | | -π/2| 3.5 | | 0 | 2.5 | | π/2 | 1.5 | | π | 2.5 |

Plotting these points and connecting them, we get the graph of the function y = sin(x - π) + 2.5.

Conclusion

To summarize, we have graphed the functions y = 1.5 * tg(-2x) + 2 and y = sin(x - π) + 2.5. The graph of the first function is a periodic curve, while the graph of the second function is a sinusoidal curve. The specific shape and characteristics of the graphs can be observed by plotting more points or using graphing software.

Please note that the graphs provided are based on the given functions and the chosen range of x-values. If you need further assistance or have any additional questions, feel free to ask!