- #1
nesan
- 75
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We're learning logarithms in school. I asked my teacher this question but she couldn't explain it very well.
For a function such as f(x) = log(100x), base ten of course.
When graphed I could say the graph is "compressed by a factor of 1 / 100"
or
Rewriting f(x) = log(100x) into f(x) = logx + log100 = logx + 2
Now it's f(x) = logx + 2
which is a vertical translation up two units. Why is it both?
What do they have in relation? ]
Please and thank you, just want to understand this. >_<
For a function such as f(x) = log(100x), base ten of course.
When graphed I could say the graph is "compressed by a factor of 1 / 100"
or
Rewriting f(x) = log(100x) into f(x) = logx + log100 = logx + 2
Now it's f(x) = logx + 2
which is a vertical translation up two units. Why is it both?
What do they have in relation? ]
Please and thank you, just want to understand this. >_<