In two or more complete sentences, identify the parent function, and describe the transformations that were applied to obtain the graph, f(x)=√2x+6+1.

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Answer:

The parent function is f(x)=√x. This graph has been transformed by a translation left 6 units, a translation up 2 units, and a stretch by a factor of 2. Adding a number at the end of a function results in a vertical translation. Adding a number inside of a function, in this case under the square root, translates the graph horizontally. Multiplying the variable by a number before another operation results in a stretch or shrink of the graph.

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