Exponential Functions: Translations
View the Lesson | MATHguide homepage Updated June 21st, 2023

Status: Waiting for your answers.

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

g(x) = 2(5)x + 7 - 5.
Translation Statement for g(x):

“The exponential function f(x) = 5x must be shifted
units to the and
units and
vertically stretched by a factor of .”
Characteristics of g(x), to the nearest hundreth:

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