02 Horizontal Translation

Instructions

Move the slider for a in the applet and answer the following questions based on your observations.

How do we obtain the graph of y = ln(x - 3) from the graph of y = ln(x)?

How do we obtain the graph of y = ln(x + 4) from the graph of y = ln(x)?

The equation y = ln(x - a) can be seen as replacing the variable x in the equation y = ln(x) by the variable _____.

Select all that apply

The graph of y = ln(x - a) passes through the origin O if a is equals to ____.

In terms of a, the equation of the asymptote to the graph of y = ln(x - a) is ______.