Question 192372: Can you help me please.
This the original equation the graph of g(x)=log(x).
This is the equation: g(x)=log(x-3)
These are the questions:
1.Find the description of transformation of the graph.
2.Find the vertical asymptote.
3.Find the x intercept in (x,y)form.
These are my answers:
1. left 3
2.x=0
3.x intercept (3,0)
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! good work
lets go over basics. BASE function is y=logx. The graph of this might be in your book, but a rough sketch might be, x/y axis form. function starts at (- infinity) when x=o, rises to (1,0), and then continues hitting (10,1)
new function is y=log(x-3)
1) this function is translated to the right 3.
2) the vertical asymptote is at x=3. Note y=log(3-3)= (- infinity)
3) The x intercept is at (4,0) note y=log ( 4-3)=log1=0
The transformed curve is same as base, except slid 3 units to right. A sketch might make this easier to understand.
| |
|
