Given the parent function , write the equation of the transformed function after a horizontal stretch by a factor of 8 and a shift left by 4 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of function transformations, specifically horizontal stretch and horizontal shift.
Key Concept Explanation
A horizontal stretch by a factor of 8 means that the function is scaled out by a factor of 8 in the x-direction. A shift left by 4 units means that the entire graph is moved 4 units to the left.
Step-by-step Solution
1. Start with the parent function:
2. Apply the horizontal stretch by a factor of 8:
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