02 Horizontal Translation
Instructions
Move the slider for a in the applet and answer the following questions based on your observations.
y = ln(x - a)
Question 2.1
How do we obtain the graph of y = ln(x - 3) from the graph of y = ln(x)?
The graph of y = ln(x - 3) is a translation of the graph of y = ln(x) by 3 units in the positive x-direction.
Question 2.2
How do we obtain the graph of y = ln(x + 4) from the graph of y = ln(x)?
The graph of y = ln(x + 4) is a translation of the graph of y = ln(x) by 4 units in the negative x-direction.
Question 2.3
The equation y = ln(x - a) can be seen as replacing the variable x in the equation y = ln(x) by the variable _____.
x - a
x + a
Question 2.4
The graph of y = ln(x - a) passes through the origin O if a is equals to ____.
-1
Question 2.5
In terms of a, the equation of the asymptote to the graph of y = ln(x - a) is ______.
x = a
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Information: 02 Horizontal Translation