Mathematics - Functions Question with Solution | TestHub

y = (x + 2)²

The equation of the reflection curve in $y=x$ is obtained by interchanging $x$ and $y$ in $y=(x+2{)}^2$.

The reflection curve is:

$$x=(y+2{)}^2$$

$$y+2=\sqrt{x}$$

$$y=\sqrt{x}-2,x\ge 0$$

Since $x$ is always $\ge 2$.