How would I write an equation for a linear relationship when I do a reflection on the x axis, a vertical dilation by a scale factor of 3, and then do a vertical translation of -9 units?

Question

I am transforming y=x, I need to know how I'd rewrite this equation with the given transformations.

Answer 1

y=x

reflect over the x axis means (x,y) becomes (x,-y)

-y =x

y =-x

vertical dilation or compression by factor of 3 means

y =-x/3

vertical translation of -9 means subtract 9

y =-x/3 -9