Question

The transformation from f to g represents a __________ stretch.
f(x)=√(x) g(x)=√(0.4x)

Answer 1

The transformation from f to g represent stretch
g increases less rapidly then f.
g is compressed vertially
or g is stretched horizontally
hope it helps

Answer 2

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

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
`(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 .