SOLUTION: y = log3(x − 2) − 1 graph, domain range and asymptote

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: y = log3(x − 2) − 1 graph, domain range and asymptote      Log On


   

Question 958498: y = log3(x − 2) − 1 graph, domain range and asymptote
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+log%28b%2C%28x%2Bh%29%29%2Bk .
Vertical shift
If k%3E+0, the graph would be shifted k units up.
If k+%3C+0, the graph would be shifted k units down.
Horizontal Shift
If h+%3E+0, the graph would be shifted h units left.
If h+%3C0, the graph would be shifted h units right.


y+=+log%283%2C%28x+-+2%29%29-+1
here you have h+=+2=>h+%3E+0=>the graph would be shifted 2 units left
and you have k+=-1=>k+%3C0=> the graph would be shifted 1 units down
asymptote:
%28x+-2%29=0=>if x=2; so, asymptote is x=2
domain:
function is defined for
{ x element R : x%3E2 }
range:
R (all real numbers)