Answer to Question #166968 in Algebra for william

Question #166968

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


  1. What are the transformations given the equation?
1
Expert's answer
2021-03-18T15:50:12-0400

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

f(x)=12x1f(x) =\frac{1}{2}\sqrt{x-1} blue function




Transformations:

x12x\sqrt x\to \frac{1}{2}\sqrt x multiplication by 12\frac{1}{2} shrinks the graph in half

12x12x1\frac{1}{2}\sqrt x \to \frac{1}{2}\sqrt {x -1} "–1" under the root shifts the graph to the right


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