Logarithmic Functions: Translations
View the Lesson | MATHguide homepage Updated October 30th, 2019


Status: Waiting for your answers.

Directions:
Use the graph of f(x) to the right to determine the translation:

g(x) = log5 (x + 8) + 3.
 
Translation Statement for g(x):

“The logarithmic function f(x) = log5 (x) must be shifted
units to the and
units .”
 
Characteristics of g(x), to the nearest hundreth:

The domain is (, +∞).
The range is (-∞, +∞).
The asymptote is = .
The x-intercept is (, ).
The point (1,0) on f(x) shifts to (, ) on g(x).