Given the parent function , the equation of the function after a reflection over the x-axis and a vertical stretch by a factor of 2 is .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's understanding of vertical transformations, specifically reflections and stretches.
Key Concept Explanation
The general form of a transformed function is . Here, represents the reflection over the x-axis and the vertical stretch.
Step-by-step Solution
1. Identify the reflection: A negative sign in front of means the graph is reflected over the x-axis, so the function becomes .
2. Apply the vertical stretch: The factor of 2 means , so the function becomes
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