Translations of a curve reversal help!

A curve undergoes three transformations, a translation of -2 in the x-direction, a stretch of SF 3 parallel to the y-axis and a translation of 4 units in the y-direction.

The resulting equation is y=4x+17/x+2

Truly stuck where to begin here!

Obviously if y=x^2 is translated in the same order, it would give y=3(x+2)^2+4

Any help would be much appreciated

Re: Translations of a curve reversal help!

I would write:

$\displaystyle 3f(x+2)+4=\frac{4x+17}{x+2}$

$\displaystyle 3f(x+2)=\frac{9}{x+2}$

$\displaystyle f(x+2)=\frac{3}{x+2}$

$\displaystyle f(x)=\frac{3}{x}$

Re: Translations of a curve reversal help!

Thanks or the reply. In regards to step 2, how would 4x+17 change to 9 by subtracting 4?

Re: Translations of a curve reversal help!

$\displaystyle \frac{4x+17}{x+2}-4=\frac{4x+17-4(x+2)}{x+2}=\frac{4x+17-4x-8}{x+2}=\frac{9}{x+2}$