Page 166 - Algebra

8.7. Reflecting and Translating Graphs
In Algebra, constructing the graphs of different functions has a predictable effect on the XY-plane.
Reflection: When reflecting, a graph is flipped over the line such that two graphs are mirror images of each other.
A vertical reflection flips a graph across the x-axis, and a horizontal reflection flips a graph across the y- axis.
REMEMBER:
For a function y = f(x)
•–
• –f(x), it results in vertical reflection. The graph is flipped down over
If you want to sketch y = f(
x), it results in horizontal reflection.
Horizontal Reflection
y= f(–x)
y= f(x)
If you want to sketch y =
the x-axis.
Vertical Reflection
y= f(x)
y=– f(x)
Page 165 of 177
Algebra I & II