The graph of y = ln(x) and its transformations

What this note covers

1. The parent logarithmic graph
2. Horizontal and vertical translations
3. Dilations and the full transformed expression
4. Reflections change the allowed side of the boundary
5. A logarithmic model from stated conditions
6. Solving a model threshold and respecting its range
7. Recovering a transformed logarithm from graph data
8. Intersection of a logarithm and a line

8 sections · 10 key terms & formulas · 6 common mistakes