Question 822020
{{{y=(2x-13)/(x-5)}}}
{{{y=(2x-10-3)/(x-5)}}}
{{{y=(2x-10)/(x-5)-3/(x-5)}}}
{{{y=2(x-5)/(x-5)-3/(x-5)}}}
{{{y=2-3/(x-5)}}}
That is the function {{{y=1/x}}} translated
5 units to the right and 2 units up.


{{{y=(3x+11)/(x+3)}}}
{{{y=(3x+9+2)/(x+3)}}}
{{{y=(3x+9)/(x+3)+2/(x+3)}}}
{{{y=3(x+3)/(x+3)+2/(x+3)}}}
{{{y=3+2/(x+3)}}}
That is the function {{{y=1/x}}} translated
3 units to the left and 3 units up.