Given an absolute value function with a vertex at that opens downward and has a vertical stretch by a factor of 3, the equation can be expressed as .
Answer & Analysis
Analysis
Question Analysis
This question assesses the ability to write an absolute value function given specific transformations including direction, stretch, and vertex location.
Key Concept Explanation
The general form is used, where the sign of determines the direction of opening and its magnitude affects the vertical stretch or compression.
Step-by-step Solution
1. Identify the vertex: .
2. Determine : The graph opens downward and is stretched by a factor of 3, so .
3. Substitute , , and
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