Quadratic and Square Root Graphs
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Questions and Answers

Write the function of a square root function given the following transformations from the parent function 𝑓(𝑥) = 𝑥 : Reflected across the x-axis Vertical compression by a factor of 1/4 Horizontal shift of 2 units left Vertical shift of 5 units down

  • 𝑓(𝑥) = –4 𝑥 − 5 − 2
  • 𝑓(𝑥) = – 1/4 𝑥 + 2 − 5 (correct)
  • 𝑓(𝑥) = –4 𝑥 + 2 − 5
  • 𝑓(𝑥) = – 1/4 𝑥 − 2 − 5

    • Write the function of a square root function given the following transformations from the parent function 𝑓(𝑥) = 𝑥 : Vertical stretch by a factor of 2 Horizontal shift of 3 units right Vertical shift of 6 units up

  • 𝑓(𝑥) = 2 𝑥 − 3 − 6
  • 𝑓(𝑥) = 2 𝑥 − 3 + 6 (correct)
  • 𝑓(𝑥) = 2 𝑥 + 3 − 6
  • 𝑓(𝑥) = 2 𝑥 − 6 − 3

    • What is the equation of the parent function for a square root function?

  • 𝑓(𝑥) = √𝑥
  • 𝑓(𝑥) = 𝑥 (correct)
  • 𝑓(𝑥) = 𝑥^2
  • 𝑓(𝑥) = 1/𝑥

    • What transformation occurs when a square root function is reflected across the x-axis?

    <p>Vertical stretch</p> Signup and view all the answers

    What transformation occurs when a square root function is shifted 4 units to the right?

    <p>Horizontal shift</p> Signup and view all the answers

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