The function is a transformation of the parent function .
Answer & Analysis
Analysis
Question Analysis
This question involves determining the parent function of a transformed square root function.
The main focus is on identifying the simplest form of the square root function family from which the given function is derived.
Key Concept Explanation
The square root function family has the parent function , which has a graph starting at the origin (0, 0) and increasing for .
Transformations like horizontal shifts (inside the square root) and vertical shifts (outside the square root) modify the parent function, but the presence of the square root of a variable confirms it belongs to this family, with as the parent.
Step-by-Step Solution
Examine the given function: .
Note the square root symbol, indicating it’s a square root function.
Recall that the simplest square root function (parent) is
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