The graph of $$y=\sqrt{x}$$ is shown below. ![](http://admin.getprephub.com/media/editor/te27_20230116211903874965.png) Which of the following is the graph of $$y=\sqrt{-x+4}$$ ?

Given that,$$y=\sqrt{-x+4}=\sqrt{-(x-4)}$$ It is similar to $$y=\sqrt{x}$$. Replacing $$x$$ wilt $$x-4$$ shifts the of $$y=\sqrt{x}$$ right 4 units. ![](http://admin.getprephub.com/media/editor/te27s_20230116211923961449.png) Multiplying $$x-4$$ by $$-1$$ reflects the graph of $$y=\sqrt{x-1}$$ over $$x=4$$