Given the parent function , write the equation of the transformed function after a vertical compression by a factor of and a shift up by 6 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of function transformations, specifically vertical compression and vertical shift.
Key Concept Explanation
A vertical compression by a factor of means that the function is scaled down by half in the y-direction. A shift up by 6 units means that the entire graph is moved 6 units upwards.
Step-by-step Solution
1. Start with the parent function:
2. Apply the vertical compression by a factor of :
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