SOLUTION: Graph the function. Use the graph of f(x) = log x to obtain the graph of g(x) = log (x - 3).

Algebra ->  Graphs -> SOLUTION: Graph the function. Use the graph of f(x) = log x to obtain the graph of g(x) = log (x - 3).      Log On


   

Question 1180362: Graph the function.
Use the graph of f(x) = log x to obtain the graph of g(x) = log (x - 3).
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Shift the first plot 3 units horizontally to the right to get the second plot.


Happy shifting.


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This problem  DOES  NOT  REQUIRE  to make plots - - - it requires to give a wording description of the procedure.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Use the graph of f%28x%29+=+log+%28x%29 to obtain the graph of g%28x%29+=+log+%28x+-+3%29.
f%28x%29+=+y
y+=+log+%28x%29 ...convert to exponential function
10%5Ey=x
make table
x|y....choose y values
1%2F10|-1-> 10%5E-1=x-> 1%2F10=x
0.3|-1%2F2-> 10%5E%28-1%2F2%29=x-> 1%2Fsqrt%2810%29=x-> 0.3=x
1|0-> 10%5E0=x-> 1=x
3.2|1%2F2-> 10%5E%281%2F2%29=x-> sqrt%2810%29=x-> 3.2=x
10|1-> 10%5E1=x-> 10=x
plot points and draw a graph



g%28x%29+=+log+%28x-highlight%283%29%29-> this 3 will shift the graph 3 units to the right, it will start from vertical line x=3
x|y....choose y values
1%2F10%2B3|-1-> 10%5E-1%2B3=x-> 1%2F10%2B3=x
0.3|-1%2F2-> 10%5E%28-1%2F2%29=x-> 1%2Fsqrt%2810%29=x-> 0.3=x
1|0-> 10%5E0=x-> 1=x
3.2|1%2F2-> 10%5E%281%2F2%29=x-> sqrt%2810%29=x-> 3.2=x
10|1-> 10%5E1=x-> 10=x



here is better graph
MSP424123177ahcg2bb8ec00004e0ee4031da8445g