A logarithmic function is the inverse of an exponential function.
<h3>What is a logarithmic function?</h3>
A logarithmic function is the inverse of an exponential function.
Now we have the function;
f(x) = log(x) and the translated function f(x) = log (x-h) + k.
- When h is positive, the asymptote moves upwards by the stated amount
- When h is negative , the asymptote moves downwards by the stated amount
Similarly;
- When k is positive, the entirety of the graph moves upwards
- When k is negative , the entirety of the graph moves downwards
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Missing parts;
Use the graphing calculator to graph the parent function.
f(x) = log(x)
Add the translated function.
f(x) = log (x-h) + k
Plug in different values of h and k to answer the following questions.
What happens when h is positive?
What happens when h is negative?
What happens when k is positive?
What happens when k is negative?