SOLUTION: Describe the transformations on the following graph of f(x)=log(x). State the placement of the vertical asymptote and x-intercept after the transformation. For example, left 1 or

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Describe the transformations on the following graph of f(x)=log(x). State the placement of the vertical asymptote and x-intercept after the transformation. For example, left 1 or      Log On


   



Question 153053: Describe the transformations on the following graph of f(x)=log(x). State the placement of the vertical asymptote and x-intercept after the transformation. For example, left 1 or stretched vertically by a factor of 2 are descriptions.
g(x)=log(x-3)
Description of transformation:
Equations(s) for the Vertical asymptote(s):
x-intercept in (x,y) form:
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Describe the transformations on the following graph of f(x)=log(x).
State the placement of the vertical asymptote and x-intercept after the transformation. For example, left 1 or stretched vertically by a factor of 2 are descriptions.
g(x)=log(x-3)
Description of transformation:
Ans: shift 3 to the right
--------------------------------
Equations(s) for the Vertical asymptote(s):
x = 3
----------------
x-intercept in (x,y) form:
Let y = 0 and solve for "x":
0 = log(x-3)
x-3 = 10^0
x-3 = 1
x = 4
Ans: (4,0)
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Cheers,
Stan H.