Lesson B9

B9 Transformations of graphs Quiz: AQA Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson B9, Transformations of graphs: 20 multiple choice questions for the AQA Maths (7357), Unit 2: Algebra and functions, written with Revision Ninja.

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The 20 questions

  1. Describe the transformation from y = f(x) to y = f(x) + 3.

    • Translation of 3 units up
    • Translation of 3 units right
    • Reflection in the x-axis
    • Vertical stretch with scale factor 3

  2. Describe the transformation from y = f(x) to y = f(x - 2).

    • Translation of 2 units down
    • Translation of 2 units left
    • Translation of 2 units right
    • Translation of 2 units up

  3. Describe the transformation from y = f(x) to y = 2f(x).

    • Vertical stretch with scale factor 2
    • Horizontal stretch with scale factor 2
    • Horizontal stretch with scale factor 1/2
    • Vertical translation of 2

  4. Describe the transformation from y = f(x) to y = f(2x).

    • Translation of 2 units left
    • Horizontal stretch with scale factor 2
    • Horizontal stretch with scale factor 1/2
    • Vertical stretch with scale factor 2

  5. Describe the transformation from y = f(x) to y = -f(x).

    • Reflection in the x-axis
    • Reflection in the y-axis
    • Rotation through 180 degrees about the origin
    • Reflection in the line y = x

  6. Describe the transformation from y = f(x) to y = f(-x).

    • Reflection in the x-axis
    • Rotation about the origin
    • Reflection in the y-axis
    • Translation of 1 unit right

  7. A point (3, 5) lies on y = f(x). Which point lies on y = f(x) + 2?

    • (5, 2)
    • (1, 5)
    • (3, 7)
    • (3, 3)

  8. A point (4, 6) lies on y = f(x). Which point lies on y = f(x/2)?

    • (4, 12)
    • (2, 6)
    • (8, 6)
    • (4, 3)

  9. A point (2, -1) lies on y = f(x). Which point lies on y = -f(x) + 4?

    • (-2, 5)
    • (2, 5)
    • (2, -5)
    • (2, 3)

  10. Which sequence of transformations takes y = f(x) to y = 2f(x - 1) + 3?

    • Vertical stretch factor 2, then translation 1 unit right, then translation 3 units up
    • Translation 1 unit left, then vertical stretch factor 2, then translation 3 units down
    • Vertical stretch factor 2, then translation 1 unit left, then translation 3 units up
    • Translation 1 unit right, then vertical stretch factor 1/2, then translation 3 units up

  11. Which transformation leaves the x-intercepts of y = f(x) unchanged but doubles the y-intercept?

    • y = f(2x)
    • y = f(x) + 2
    • y = f(x + 2)
    • y = 2f(x)

  12. A point (1, 4) lies on y = f(x). Which point lies on y = f(-x)?

    • (1, -4)
    • (4, 1)
    • (-1, 4)
    • (-1, -4)

  13. A point (6, 2) lies on y = f(x). Which point lies on y = f(3x)?

    • (3, 2)
    • (18, 2)
    • (6, 2/3)
    • (2, 2)

  14. What does the graph of y = |f(x)| look like compared with y = f(x)?

    • Parts above the x-axis are reflected downwards
    • Only the y-intercept changes
    • Parts below the x-axis are reflected upwards
    • The graph is unchanged for x > 0

  15. The graph of y = |x| is translated to y = |x - 3|. Describe the translation.

    • 3 units down
    • 3 units up
    • 3 units right
    • 3 units left

  16. A point (0, 5) lies on y = f(x). Which point lies on y = f(x - 2) + 1?

    • (-2, 6)
    • (0, 6)
    • (2, 6)
    • (2, 4)

  17. Which sequence of transformations takes y = f(x) to y = f(3x - 6)?

    • Translate 6 units right, then stretch parallel to the x-axis with scale factor 3
    • Stretch parallel to the x-axis with scale factor 3, then translate 2 units left
    • Stretch parallel to the x-axis with scale factor 1/3, then translate 2 units right
    • Translate 2 units right, then stretch parallel to the x-axis with scale factor 3

  18. y = f(x) has a maximum at (2, 5). What is the maximum point of y = 2f(x) - 1?

    • (4, 9)
    • (2, 10)
    • (2, 4)
    • (2, 9)

  19. Which transformation takes y = x^2 to y = (x - 1)^2 + 4?

    • Translate 1 unit left and 4 units down
    • Translate 4 units right and 1 unit up
    • Translate 1 unit right and 4 units up
    • Stretch by a factor of 4

  20. What are the asymptotes of y = 2/(x + 1) - 3?

    • x = -1 and y = -3
    • x = -1 and y = 2
    • x = -1 and y = 3
    • x = 1 and y = -3

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