Transformations of graphs

Transformations of graphs Quiz

Spec B9 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. y=f(x)y=f(x) has a minimum at (3,−2)(3,-2). What is true of y=−f(x)y=-f(x)?

    • A. Minimum at (3,2)(3,2)
    • B. Maximum at (3,2)(3,2)
    • C. Maximum at (−3,−2)(-3,-2)
    • D. Minimum at (3,−2)(3,-2)

  2. 2. Which transformation maps y=f(x)y=f(x) onto y=f(x−5)y=f(x-5)?

    • A. Translation 55 left
    • B. Translation 55 up
    • C. Translation 55 down
    • D. Translation 55 right

  3. 3. Which transformation maps y=f(x)y=f(x) onto y=f(2x)y=f(2x)?

    • A. Stretch, factor 12\frac12, parallel to the xx-axis
    • B. Stretch, factor 22, parallel to the xx-axis
    • C. Stretch, factor 22, parallel to the yy-axis
    • D. Translation 22 left

  4. 4. (4,6)(4,6) lies on y=f(x)y=f(x). Which point lies on y=3f(x)y=3f(x)?

    • A. (12,6)(12,6)
    • B. (4,2)(4,2)
    • C. (4,18)(4,18)
    • D. (7,6)(7,6)

  5. 5. (4,6)(4,6) lies on y=f(x)y=f(x). Which point lies on y=f(x2)y=f\left(\frac x2\right)?

    • A. (2,6)(2,6)
    • B. (8,6)(8,6)
    • C. (4,12)(4,12)
    • D. (4,3)(4,3)

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