Log Grapher
Below you see a graph of logb(x - h) + k. Use the sliders to adjust the values of b, h, and k. The parent graph with base b is indicated by a gray dotted line.
1. Adjust the value of b only. What happens as b gets larger? smaller?
2. Adjust the value of h only. What happens as h gets larger? smaller?
3. Adjust the value of k only. What happens as h gets larger? smaller?
4. The green dashed line is the asymptote of the graph. How does this value relate to h? To the domain?
5. Imagine that you are asked to graph log6(x+3) - 2. How does this graph compare to that of the graph of log2 (x)?