Question

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

Answer 1

The answer is vertical.

Answer 2

The transformation from f to g represents a Vertical stretch.

Explanation:

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

`f(x)=√(x)`

and the transformed function g(x) as:

`g(x)=6√(x)`

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.