Verified Answer :

The transformation from f to g represent stretch 
g increases less rapidly then f. 
g is compressed vertially 
or g is stretched horizontally
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Answer:

The transformation from f to g represent by the horizontal stretch .

Step-by-step explanation:

Given  : f(x)=√(x)   and g(x)=√(0.4x).

To find : The transformation from f to g represents a __________ stretch.

Solution : We have given Parent function f(x)=√(x) .

By the transformation rule : f(x) →→ f(ax) .when  0<a<1.

Then it stretch horizontally by factor \(\frac{1}{a}\).

Here we can compare the function  f(x)=√(x) →→ g(x)=√(0.4x).

Here, a = 0.4 ; 0 < 0.4< 1.

So, The transformation from f to g represent by the horizontal stretch .

Therefore,  the transformation from f to g represent by the horizontal stretch .

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