Step 1 :Start with the parent function, \(y=\frac{1}{x}\).
Step 2 :Stretch vertically by a factor of 5 to get \(y=5*\frac{1}{x}\) or \(y=\frac{5}{x}\).
Step 3 :Reflect across the x-axis to get \(y=-\frac{5}{x}\).
Step 4 :Shift downward 2 units to get \(y=-\frac{5}{x}-2\).
Step 5 :So, the function based on the given parent function and transformations in the given order is \(\boxed{y=-\frac{5}{x}-2}\).