This graph is a horizontal shift of the parent function. The equation of the graphed function is f(x) = ________.
Answer & Analysis
Analysis
Question Analysis
This question involves identifying the horizontal shift of a square root function from its graph.
Key Concept Explanation
Vertex of Parent Square Root Function: The parent function has a vertex (starting point) at .
Horizontal Shift Rule: For a square root function shifted left by h units, its equation is (which is the same as ). The vertex of this shifted function is —the y-coordinate stays 0 (no vertical shift), and the x-coordinate of the vertex is .
Step-by-step Solution
1. Identify the vertex of the graphed function: The graph starts at , so the vertex is .
2. Recall the form of a left-shifted square root function: , where the vertex is
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