The graph of y=√X is translated 3 units to the right and slid 5 unitsdown, what would be the resulting equation?

The resulting equation is:

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This question is solved using the translation concept.

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Original function:

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Translated 3 units to the right

This is f(x - 3), so:

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Translating 5 units down

This is g(x) - 5, so:

Which is the resulting equation.

The image at the end of this answer compared the graph of the original function, in red, with the translated, in blue.

A similar question is given at link.

Step-by-step explanation:

The vertex form of a square root equation is: where

Input: h = 3 (3 units right) and k = -5 (5 units down) into the vertex form: