Answer to Question #169158 in Algebra for william

Question

In Desmos: Write all transformations that occurred parent function y= square root of x

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

List all transformations that occurred:

Answer 1

$y=\sqrt{x}$ (blue line)

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

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

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