1. Transformations of Linear and Exponential Functions
~adapted from Walch Education

2. Vertical translations can be performed on linear and exponential graphs using  f(x) + k, where k is the value of the vertical shift.
A vertical shift moves the graph up or down k units.
If k is positive, the graph is translated up k units.
If k is negative, the graph is translated down k units.
Key Ideas:

3. Key Ideas, continued. Translations are one type of transformation.
Given the graphs of two functions that are vertical translations of each other, the value of the vertical shift, k, can be found by finding the distance between the y-intercepts.
Key Ideas, continued.

4. Given f(x) = 2x + 1 and the graph of f(x) to the right, graph g(x) = f(x) – 5.
Practice

5. For each point on f(x), plot a point 5 units lower on the graph and connect the points.
g(x) is a vertical shift down 5 units of f(x).
Graph g(x).

6. Thanks for watching!
~DR. DAMBREVILLE