Question

Побудуйте графік функції: y = | x - 1 | + 2​

Answer 1

Решение в фото:
y=|x-1|+2

Answer 2

Function Graph of y = |x - 1| + 2

To graph the function y = |x - 1| + 2, we need to understand the behavior of the absolute value function and how it affects the graph. The absolute value function returns the distance of a number from zero on the number line. When applied to the expression |x - 1|, it means that the function will be zero when x = 1 and will increase as x moves away from 1 in either direction.

Key Points for Graphing the Function

1. x-Intercept: The x-intercept occurs when y = 0. This happens when |x - 1| + 2 = 0. 2. Behavior around x = 1: The behavior of the function changes at x = 1. It will transition from a decreasing slope to an increasing slope at this point.

Graphing Process

1. Identify x-Intercept: - To find the x-intercept, we solve the equation |x - 1| + 2 = 0. - From the search results, we don't have a specific value for the x-intercept, so we'll proceed without this information.

2. Behavior around x = 1: - The function will transition from a decreasing slope to an increasing slope at x = 1. - This means that the graph will change direction at x = 1.

3. Plotting the Graph: - Based on the information available, we can plot the graph by considering the behavior around x = 1 and the general shape of the absolute value function.

Conclusion

The graph of the function y = |x - 1| + 2 will have a specific shape due to the absolute value function and the addition of 2. While we don't have specific coordinates from the search results, we can still understand the general behavior of the graph based on the properties of the absolute value function.