Graphing Square Root Functions Flashcards

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Questions and Answers

What is the equation of a square root function?

y = -√-x
y = -√x
y = √-x
y = √x (correct)

Which equation represents a negative square root function?

y = √-x
y = √x
y = -√x (correct)
y = -√-x

What is the equation that involves a negative inside the square root?

y = -√x
y = √-x
y = -√-x (correct)
y = √x

Which of the following equations does not represent a real number output for all x?

<p>y = √-x (A)</p> Signup and view all the answers

Study Notes

Graphing Square Root Functions

y = √x
- Represents the principal square root function.
- Graph starts at the origin (0,0) and extends to the right in a curve.
- Only for non-negative values of x (x ≥ 0).
y = -√x
- Represents the negative square root function.
- Graph starts at the origin (0,0) and extends downward to the right.
- Only applicable for non-negative values of x (x ≥ 0), producing a reflection of y = √x across the x-axis.
y = -√-x
- Represents a transformation of the square root function with negative input.
- Graph starts at the x-axis moving leftward (for x ≤ 0).
- Reflects the negative square root function across the y-axis.
y = √-x
- Represents the positive square root function with negative input.
- Graph starts moving leftward from the origin (0,0), applicable for non-positive values of x (x ≤ 0).
- Produces a reflection of y = √x across the y-axis.

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Description

Explore square root functions with these flashcards designed to help you understand various forms of the equation. Each card presents a different graphing scenario, showcasing square root functions and their transformations. Ideal for students looking to reinforce their knowledge in algebra and graphing.