Question

Функции заданы формулами:y=2x+1 y=x+7 y=2x-3 выпишите те функции,графики которых параллельны графику функции у=2х-1.постройте их графики.

Answer 1

Графики параллельны если коэффиценты при х равны, а число, которое прибавляем не равны(иначе графики совпадут). Тогда у=2х-1 параллелен у=2х+1 и у=2х-3. график нужно строить, просто это легко...?
у=2х-1 черный
у=2х+1 и у=2х-3 красные

Answer 2

Functions and Their Graphs

The given functions are: - y = 2x + 1 - y = x + 7 - y = 2x - 3

To find the functions whose graphs are parallel to the graph of y = 2x - 1, we need to find functions with the same slope. The slope of a linear function is the coefficient of x.

The slope of y = 2x - 1 is 2. So, we need to find functions with a slope of 2.

Let's find the equations of the parallel functions:

1. For y = 2x + 1, the slope is 2, which is the same as the slope of the given function. Therefore, the graph of this function is parallel to the graph of y = 2x - 1.

2. For y = x + 7, the slope is 1, which is different from the slope of the given function. Therefore, the graph of this function is not parallel to the graph of y = 2x - 1.

3. For y = 2x - 3, the slope is 2, which is the same as the slope of the given function. Therefore, the graph of this function is parallel to the graph of y = 2x - 1.

Let's plot the graphs of these functions to visualize them.

Graphs of the Functions

To plot the graphs, we can use a coordinate plane. Here are the graphs of the functions:

- Graph of y = 2x - 1: 

- Graph of y = 2x + 1 (parallel to y = 2x - 1): 

- Graph of y = 2x - 3 (parallel to y = 2x - 1): 

Please note that the actual graphs may vary depending on the scale and range chosen for the coordinate plane.

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