Algebra-2

Question Analysis
This problem assesses the understanding of horizontal shifts, vertical compressions, reflections, and vertical shifts in logarithmic functions.

Key Concept Explanation
The general form for a horizontal shift is , where indicates a shift to the left. A vertical compression is indicated by multiplying the logarithmic function by a constant , where . A negative sign in front of the logarithm indicates a reflection over the x-axis. The general form for a vertical shift is , where indicates a shift downward.

Step-by-step Solution
1. Identify the horizontal shift: The term

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