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 and for the values of from to :
- The blue curve represents .
- The green curve represents , 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:
- 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