Math Problem Statement
Describe the transformation from the parent function h(x) = 2^x to the transformed function j(x) = 2^x + 5.
Solution
The question involves identifying the transformation from the parent function to the transformed function .
Explanation:
- Parent function:
- Transformed function:
When we add a constant to the function, it represents a vertical shift upwards by 5 units.
Correct Answer:
The parent function is transformed by Shifting Up 5.
Do you need further details on why this is the case, or have additional questions?
Here are 5 related questions to explore further:
- What happens if we subtract 5 instead of adding it?
- How does horizontal shifting differ from vertical shifting?
- How can we graphically see a shift upwards?
- What transformation occurs when we multiply by a negative constant?
- Can you explain the difference between vertical stretching and shifting?
Tip: Adding or subtracting from the function itself (outside the exponent) will always result in a vertical transformation.
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Function Transformations
Formulas
h(x) = 2^x
j(x) = 2^x + 5
Theorems
Transformation of Functions
Suitable Grade Level
Grades 9-12