Question

Explain how to graph -√(x-3). (How do you graph sqrt functions that have a negative sign in front of them?)

Answer 1

Firstly put
`f(x) = √(x)` then observe


`f(x+3)= √(x+3)`

`\Rightarrow -f(x+3) = -√(x+3)`

Then it becomes a case of standard transformations of the function f. i.e. take the regular square root function, shift it left 3 units and reflect it in the x-axis.