Square-root function
Analyze square-root functions in Grade 9 Algebra including domain, range, and key graph features. Graph by transforming the parent function f(x) = √x.
Key Concepts
Property A function that contains a square root of a variable. The parent function is $y = \sqrt{x}$. Explanation Think of the parent function, $y = \sqrt{x}$, as the 'original superhero' of these graphs. Since we can't take the square root of a negative number and get a real answer, the part under the root (the radicand) must always be zero or positive. That’s the most important rule of the game! Examples The parent function's graph starts at $(0,0)$ and includes points like $(1,1)$, $(4,2)$, and $(9,3)$. The function $y = \sqrt{x} + 5$ is a transformation of the parent function. The function $y = \sqrt{x}$ is a reflection of the parent function.
Common Questions
What is Square-root function in Grade 9 Algebra?
Property A function that contains a square root of a variable Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Square-root function problems step by step?
Explanation Think of the parent function, , as the 'original superhero' of these graphs Use this method consistently to avoid common errors.
What is a common mistake when studying Square-root function?
Since we can't take the square root of a negative number and get a real answer, the part under the root (the radicand) must always be zero or positive Always check your work by substituting back into the original problem.