The transformation from f to g represents a stretch. f(x) = square root of x. and g(x) = 6square root of x.

The transformation from f to g represents a Vertical stretch.

We are given a parent function f(x) as:

and the transformed function g(x) as:

We know that any function transformation of the type:

      f(x) → a f(x)

represents either a vertical stretch stretch or compression depending on the value of a.

If   0<a<1 then the transformation is a vertical compression and if a>1 then the transformation is a vertical stretch.

Here we have a=6>1

Hence, the transformation is a VERTICAL STRETCH.

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