The natural exponential function is reflected over the x-axis and then shifted up by 2 units. The new function is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of function transformations, specifically reflection and vertical translation, applied to the natural exponential function.
Key Concept Explanation
The standard form of the natural exponential function is . Reflecting the function over the x-axis changes the sign of the function, resulting in . Shifting the function up by 2 units adds 2 to the function, resulting in .
Step-by-step Solution
1. Start with the standard function:
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.