The graph of y = 3 over the sqaure root of x is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)

Answer:[tex]f(x) =\frac{3}{\sqrt{-x}}-2[/tex]Observe the attached imageStep-by-step explanation:The original function is: [tex]y =\frac{3}{\sqrt{x}}[/tex]If we have a function g(x), then the graph of g(-x) will be equal to the graph of g(x) reflected on the y-axis.In the same way, the graph of g(x)-2 is equal to the graph of g(x) displaced 2 units downIn this case [tex]y = g(x)=\frac{3}{\sqrt{x}}[/tex]Then[tex]g(-x) =\frac{3}{\sqrt{-x}}[/tex]Finally[tex]f(x) =g(-x)-2 =\frac{3}{\sqrt{-x}}-2[/tex][tex]f(x) =\frac{3}{\sqrt{-x}}-2[/tex]The graph of f(x) is equal to the graph of [tex]y =\frac{3}{\sqrt{x}}[/tex] reflected on the axis-y and displaced 2 units downwards as seen in the attached image