Algebra-2

Question Analysis
This question assesses the student's ability to perform sequential translations on an absolute value function. It requires the application of both horizontal and vertical shifts.

Key Concept Explanation
Horizontal translations involve shifting the graph left or right by adding or subtracting a value from . Vertical translations involve shifting the graph up or down by adding or subtracting a value from the entire function.

Step-by-step Solution
1. Identify the horizontal shift: Shifting 4 units to the left means adding 4 to , resulting in .
2. Identify the vertical shift: Shifting 7 units down means subtracting 7 from the entire function, resulting in

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