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

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.