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Which subjectMathematics
What age groupYear or Grade 11
What topicTransformations of f(x)=1/x
Question typesMixed
Number of questions10
Number of answers4
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Mathematics Quiz: Transformations of f(x) = 1/x

Instructions

Answer the following questions related to the transformations of the function ( f(x) = \frac{1}{x} ). Please choose the best answer for each question where options are provided.

  1. What is the effect of the transformation ( f(x) = \frac{1}{x} + 3 )?

    • A. Vertical shift down by 3 units
    • B. Vertical shift up by 3 units
    • C. Horizontal shift left by 3 units
    • D. Horizontal shift right by 3 units

  2. If the function is transformed to ( f(x) = \frac{1}{2x} ), what type of transformation is applied?

    • A. Horizontal compression
    • B. Horizontal stretch
    • C. Vertical compression
    • D. Vertical stretch

  3. When the function is modified to ( f(x) = -\frac{1}{x} ), what transformation has occurred?

    • A. Reflection over the x-axis
    • B. Reflection over the y-axis
    • C. Rotation of 180 degrees
    • D. Vertical stretch

  4. What is the transformation of the function ( f(x) = \frac{1}{x - 2} )?

    • A. Vertical shift right by 2 units
    • B. Horizontal shift left by 2 units
    • C. Horizontal shift right by 2 units
    • D. Vertical shift up by 2 units

  5. Which of the following transformations applies to the function ( f(x) = \frac{3}{x} )?

    • A. Vertical stretch by a factor of 3
    • B. Horizontal stretch by a factor of 3
    • C. Reflection over the x-axis
    • D. Vertical compression by a factor of 3

  6. Is the graph of ( f(x) = -\frac{1}{-x} ) equivalent to the graph of ( f(x) = \frac{1}{x} )?

    • Yes
    • No

  7. If we reflect the function ( f(x) = \frac{1}{x} ) across the y-axis, what is the resulting function?

    • Answer:

  8. Identify the transformation represented by ( f(x) = \frac{1}{x + 1} - 4 ).

    • A. Vertical shift down by 4 units and horizontal shift left by 1 unit
    • B. Vertical shift up by 4 units and horizontal shift left by 1 unit
    • C. Vertical shift down by 4 units and horizontal shift right by 1 unit
    • D. Vertical shift up by 4 units and horizontal shift right by 1 unit

  9. What type of transformation is represented by the equation ( f(x) = \frac{1}{-x + 3} )?

    • A. Vertical stretch
    • B. Horizontal reflection and shift left by 3 units
    • C. Horizontal compression
    • D. Vertical translation

  10. How would you describe the transformation of ( f(x) = \frac{1}{3 - x} )?

    • Answer:

Good Luck!

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