Math Problem Statement
f(x)+3 state the transformation
Solution
The function represents a vertical translation of the graph of .
Transformation:
- The graph of is shifted upward by 3 units.
This means that for every point on the graph of , the new point on the graph of will be .
Would you like more details on vertical translations or transformations in general?
Here are 5 related questions you might find useful:
- What is a horizontal translation of a function?
- How do vertical and horizontal shifts differ in transformations?
- How does adding or subtracting a constant inside the function affect the graph?
- What is a reflection transformation in functions?
- Can a function be stretched or compressed, and how would that affect the graph?
Tip: To determine the direction of a transformation (up, down, left, or right), think about whether you're adding or subtracting inside or outside the function.
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Math Problem Analysis
Mathematical Concepts
Functions
Vertical Translation
Graph Transformations
Formulas
f(x) + 3
Theorems
Transformation of functions
Suitable Grade Level
Grades 9-11