Question 958498
{{{y = log(b,(x+h))+k}}} .

Vertical shift

If {{{k> 0}}}, the graph would be shifted {{{k}}} units {{{up}}}.

If {{{k < 0}}}, the graph would be shifted {{{k}}} units {{{down}}}.

Horizontal Shift

If {{{h > 0}}}, the graph would be shifted {{{h}}} units {{{left}}}.

If {{{h <0}}}, the graph would be shifted {{{h}}} units {{{right}}}. 



{{{y = log(3,(x - 2))- 1}}}

here you have {{{h = 2}}}=>{{{h > 0}}}=>the graph would be shifted {{{2}}} units {{{left}}}

and you have {{{k =-1}}}=>{{{k <0}}}=> the graph would be shifted {{{1}}} units {{{down}}}

asymptote:
{{{(x -2)=0}}}=>if {{{x=2}}}; so, asymptote is {{{x=2}}}

domain:

function is defined for 

{ {{{x}}} element {{{R}}} : {{{x>2}}} } 

range:

{{{R}}}  (all real numbers)


{{{drawing( 600, 600, -10, 10, -10, 10,
line(2,-10,2,10),
 graph( 600, 600, -10, 10, -10, 10, log(3,(x -2)) -1)) }}}