The function $$y = -\frac{1}{3} \cdot \log_5(x - 8) + 6$$ is...

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

Key Concept Explanation
The general form of a transformed logarithmic function is . Here, represents the horizontal shift, represents the vertical stretch or compression, the sign of determines the reflection, and represents the vertical shift.

Step-by-step Solution
1. Identify the horizontal shift: The term indicates a horizontal shift to the right by 8 units.
2. Identify the vertical compression: The coefficient in front of the logarithm,

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Algebra-2

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