If an absolute value function has a vertex at and is reflected over the x-axis with no stretch or compression, its equation is .
Answer & Analysis
Analysis
Question Analysis
This question checks the ability to write an absolute value function equation when the vertex and reflection over the x-axis are specified. It requires understanding how reflection affects the value of .
Key Concept Explanation
Reflection over the x-axis in the standard form is indicated by . If there is no stretch or compression, , so .
Step-by-step Solution
1. Identify the vertex:
2. Determine the value of : Since the function is reflected over the x-axis with no stretch or compression,
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