1. Unit 2: Functions

2. Translations
First, you have to know what the parent functions look like!
Parent functions…

5. We did this in Alg 2! Graph the parent function and move it!
Left or right?
Up or down?
Flip or normal?

6. New to Pre-Calc…
-f(x)
If there is a negative in the front it is a reflection over the x-axis. (flip)
f(-x)
If there is a negative on the “inside” it is a reflection over the y-axis. (mirror imaged)

7. Graph
Exponential Example
Log Example

8. Practice Graphing

9. Symmetry

10. Symmetry - Examples w/ respect to the y-axis (EVEN)
f(x) = x2
w/ respect to the x-axis
x = y2
w/ respect to the origin (ODD)
f(x) = x3

13. Symmetry - algebraically

14. Homework
P. 99 (47-54)
p. 110 (29-31 no calc…just graph, 35, 38, 39, 41)