Question

the transformation from f to g represents a __________ stretch. f(x)= square root of x and g(x)=square root of 0.4 times x

Answer 1

F(x) = √x

g(x) = √(0.4x)


g(x) = √(0.4x) = √(0.4*x) = √0.4 * √x

g(x) = √0.4 * √x                      Recall f(x) = √x

g(x) = √0.4 * f(x)


Therefore:

The transformation from f to g represents a ____√0.4______ stretch.

Hope this explains it.

Answer 2

The transformation from f to g represents a stretch in the x direction by a factor of 1.59.