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Algebra 2
24. MA.912.AR.7.3
24.1 Square root of a function
The Square Root Function
y = the square root of x starts at the origin and is only defined for x greater than or equal to 0.
What You'll Learn
y = the square root of x is defined only for x greater than or equal to 0.
The domain is x greater than or equal to 0; the range is y greater than or equal to 0.
Key points: square root of 0 is 0, of 1 is 1, of 4 is 2, of 9 is 3.
The curve flattens as x grows, since y only doubles when x quadruples.
Squaring both sides gives y squared = x, the upper half of a sideways parabola.
What You'll Practice
1
Graphing square root transformations of linear functions using tables of values
2
Sketching square root curves from piecewise function graphs
3
Identifying domain and range for square root of functions
4
Locating invariant points on transformed graphs
Why This Matters
Understanding square root transformations is essential for analyzing more complex functions in algebra and calculus. You'll use these graphing techniques when working with radical equations, modeling real-world scenarios involving rates of change, and preparing for function composition in higher-level math.
This Unit Includes
4 Video lessons
Practice exercises
Learning resources
Skills
Square Root Functions
Function Transformations
Graphing
Domain and Range
Invariant Points
Concavity
FL Curriculum Aligned