Question

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

Answer 1

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 .

Answer 2

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