Reflection  x axis of y=f(x+3,y)is*y=f(x+9,y)y=f(-x+3,y)y=-f(x+3,y)y=-f(-x+3,y)

It seems like there's a bit of confusion in your question. If you want to reflect a function across the x-axis, the transformation would be y = -f(x). If you want to shift the function 3 units to the left, the transformation would be y = f(x+3).

So, if you want to reflect the function y = f(x) across the x-axis and then shift it 3 units to the left, the transformation would be y = -f(x+3).

If you want to shift the function 3 units to the left first and then reflect it across the x-axis, the transformation would be y = -f(x+3).

The order of transformations does not change the final result in this case.

The transformations y = f(x+9), y = f(-x+3), and y = -f(-x+3) would result in different shifts and reflections of the original function y = f(x).