Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.
Write an equation for a transformed parent function from key graph features
Problem
Write the square-root equation with endpoint \((4,~-1)\) that passes through \((5,~2)\).
Big Picture
What this problem is really about
Start with the transformed form for the identified parent family rather than guessing an equation from isolated coordinates. A square-root endpoint fixes both shift parameters immediately, leaving only the vertical scale unknown. Substitute the second point to determine that scale, then verify both given features in the completed rule.
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