Algebra-2

Question Analysis
This question tests the student's understanding of horizontal transformations, specifically horizontal stretch and horizontal shift. The student must correctly apply the transformation rules to the parent function.

Key Concept Explanation
Horizontal stretch by a factor of 4 means replacing with in the function. A shift left by 7 units means replacing with .

Step-by-step Solution
1. Start with the parent function:
2. Apply the horizontal stretch by a factor of 4: