Math Problem Statement
Show graph of f(x)+3=|x|+3
Solution
Here's the graph of . As you can see, the graph represents the absolute value function shifted upwards by 3 units.
Would you like further details or have any questions?
Here are five related questions to explore further:
- How does shifting affect the graph of an absolute value function?
- What would happen if we subtract 3 from both sides instead of adding 3?
- How does the graph of change if we add a constant inside the absolute value?
- What are some properties of the absolute value function?
- How can we express this function in piecewise form?
Tip: Shifting a graph vertically involves adding or subtracting a constant from the entire function, moving it up or down without affecting its shape.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Functions
Graph Transformations
Formulas
f(x) + c = |x| + c
Vertical Shifting of Functions
Theorems
Properties of Absolute Value Functions
Suitable Grade Level
Grades 9-11