Consider the absolute value function . The function is reflected over the x-axis, vertically compressed, and shifted. The vertex of this transformed function is at the point .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify the vertex of a transformed absolute value function. The function given is , which involves a reflection, vertical compression, and shifts.
Key Concept Explanation
The general form of an absolute value function is . The vertex of the function is at the point . In this case, the function is reflected over the x-axis (due to the negative sign in front of the fraction), vertically compressed (since the absolute value of the coefficient is less than 1), and shifted.
Step-by-step Solution
1. Identify the values of and from the given function
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