Chapter 5.2
Radical functions and transformations
What You'll Learn
Identify transformations of radical functions including translations, reflections, and stretches
Apply coordinate mapping formulas to graph transformed radical functions accurately
Determine domain and range from graphs and algebraically using square root properties
Recognize how changes to x and y values affect horizontal and vertical transformations
What You'll Practice
1
Graphing radical functions using tables of values and coordinate mapping
2
Applying horizontal and vertical transformations to square root functions
3
Finding domain and range from equations without graphing
4
Mapping points from basic to transformed radical functions
Why This Matters
Mastering radical function transformations builds your ability to visualize and analyze function behavior quickly. These skills are essential for precalculus, calculus, and modeling real-world phenomena like pendulum motion and electrical circuits where square root relationships appear.
This Unit Includes
5 Video lessons
Skills
Radical Functions
Transformations
Domain and Range
Coordinate Mapping
Square Roots
Function Graphing
Horizontal Translation
Vertical Reflection
