Which represents the reflection of f(x) = [tex]\sqrt{x}[/tex] over the y-axis?




Answer:
The graph 1 will represent the equation.
Step-by-step explanation:
The given function is [tex]f(x) = \sqrt{x}[/tex] and the function will become [tex]f(x) = \sqrt{- x}[/tex] after a reflection over the y-axis.
Since after reflection over the y-axis the x-values of the function will change in sign and there will be no change in y-value.
Now, for x = 0, then y = 0.
For, x = - 1, then y = 1 and
For, x = - 4, then y = 2.
Therefore, graph 1 will represent the equation. (Answer)