Math Problem Statement

Draw the graph of y=|x| and y=|x|+ for the values of x from - 3 to 3

Solution

Here is the graph of the equations y=xy = |x| and y=x+2y = |x| + 2 for the values of xx from 3-3 to 33:

  • The blue curve represents y=xy = |x|.
  • The green curve represents y=x+2y = |x| + 2, which is a vertical shift of the blue curve by 2 units upwards.

Would you like more details on how these graphs were constructed or have any other questions?

Here are five related questions to explore further:

  1. How does the value of the constant in (y = |

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Graph Transformations

Formulas

y = |x|
y = |x| + c

Theorems

Absolute Value Function Properties
Vertical Shift Theorem

Suitable Grade Level

Grades 8-10