In Desmos, type the equation: f(x)= 1/2 square root of x-1
g(x)=xg(x)=\sqrt xg(x)=x red function
f(x)=12x−1f(x) =\frac{1}{2}\sqrt{x-1}f(x)=21x−1 blue function
Transformations:
x→12x\sqrt x\to \frac{1}{2}\sqrt xx→21x multiplication by 12\frac{1}{2}21 shrinks the graph in half
12x→12x−1\frac{1}{2}\sqrt x \to \frac{1}{2}\sqrt {x -1}21x→21x−1 "–1" under the root shifts the graph to the right
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