Answer to Question #168431 in Algebra for william

Question #168431

In Desmos:

write all transformation that occurred in the parent function y=square root of x


Transformed function: y= - square root x-3 +1

1
Expert's answer
2021-03-07T14:00:34-0500

Solution.


y=xy=\sqrt{x} (blue line)

y=xy=-\sqrt{x} - symmetry about the x-axis (green line)

y=x3y=-\sqrt{x-3} - parallel translation by 3 units to the right (purple line)

y=x3+1y=-\sqrt{x-3}+1 - parallel translation by 1 unit up (red line)


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