Math Problem Statement

Graph the function y=-(x-1)-1

Solution

Here is the graph of the function y=(x1)1y = -(x - 1) - 1. The graph is a straight line with a negative slope, reflecting the transformation of a standard linear function by shifting horizontally and vertically.

Would you like further details or have any questions? Here are five related questions for deeper understanding:

  1. What is the slope and y-intercept of this linear function?
  2. How would the graph change if the equation were y=(x1)+1y = -(x - 1) + 1?
  3. What are the x- and y-intercepts of the function?
  4. How would the graph behave if we reversed the negative sign in front of (x1)(x-1)?
  5. How does the graph compare to y=x1y = -x - 1?

Tip: For linear equations, the slope tells you how steep the line is, and the y-intercept shows where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Graphing

Formulas

y = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 8-10