There are four different transformations of functions. We look at how these transformations will affect a parent square root graph.
General Equation of Transformations of Functions: y = af(k(x - d)) + c
IMPORTANT TIMESTAMPS:
0:00 Introduction and background knowledge
0:24 Reminder of all four transformations in the general equation
2:10 Super important
2:23 Our example!
2:44 Factoring out k (!!!)
4:36 Identifying the transformations
6:02 Using the parent graph as the foundation
6:44 Applying stretches, compressions, and reflections
8:05 Applying translations
9:28 Graphing the function
10:09 Identifying the domain and the range
Download full notes from this video along with practice worksheets at https://www.lulumath.com
BACKGROUND INFO VIDEOS:
Transformations of Functions Summary - Pulling It All Together: • Transformations of Functions Summary | Fun...
Transformations of Functions I - Vertical Translations: • Transformations of Functions I - Vertical ...
Transformations of Functions II - Horizontal Translations: • Transformations of Functions II - Horizont...
Transformations of Functions III - Vertical Stretches, Compressions, and Reflections: • Transformations of Functions III - Vertica...
Transformations of Functions IV - Horizontal Stretches, Compressions, and Reflections: • Transformations of Functions IV - Horizont...
RELATED VIDEOS:
A Practice Transformations of Functions Problem - An Absolute Value Example: • A Practice Transformations of Functions Pr...
Transformations of Functions From Descriptions Part I: • Transformations of Graphs From Description...
Transformations of Functions From Descriptions Part II: • Transformations of Graphs From Description...
DESMOS: www.desmos.com
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