Transformations

of Linear and

Exponential

Functions~adapted from Walch Education

Key Ideas:

• 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, 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.

Practice

Given f(x) = 2x + 1 and

the graph of f(x) to the

right, graph g(x) = f(x) – 5.

Graph g(x).

• 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).

THANKS FOR WATCHING!~DR. DAMBREVILLE