Answer to Question #166968 in Algebra for william

Question

In Desmos, type the equation: f(x)= 1/2 square root of x-1

1. What are the transformations given the equation?

Answer 1

$g(x)=\sqrt x$ red function

$f(x) =\frac{1}{2}\sqrt{x-1}$ blue function

Transformations:

$\sqrt x\to \frac{1}{2}\sqrt x$ multiplication by $\frac{1}{2}$ shrinks the graph in half

$\frac{1}{2}\sqrt x \to \frac{1}{2}\sqrt {x -1}$ "–1" under the root shifts the graph to the right