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Graphing Square Root Functions Flashcards
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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</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.

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