Question

How do you identify transformations in parent functions given `y = 2sqrtx+5`?

Answer 1

A multiplier on the "outside" of the radical will stretch or shrink the "output", and an addition or subtraction on the"outside" will shift the "outputs" up or down.

Explanation:

`2*sqrt(x)` will cause all output values from the parent function to be doubled, yielding a vertical stretch. (taller)

After applying that stretch, adding 5 to each y-value will raise the graph up 5 units.