Question

# g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = √1/4x

Transformations of functions

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. $$\displaystyle{g{{\left({x}\right)}}}=\sqrt{\frac{1}{4}}{x}$$

We are starting with the parent function $$f(x)=\sqrt{x}$$
Horizontal stretch the graph by a factor of 4, to get $$y=\sqrt{1/4}x$$, which is the required function g(x)