Lesson 1.02w

1.02w Graph transformations Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02w, Graph transformations: 20 multiple choice questions for the OCR Maths (H240), Unit 2: Algebra and Functions, written with Revision Ninja.

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The 20 questions

  1. What single transformation maps y = f(x) to y = f(x) + 3?

    • Translation right 3
    • Stretch scale factor 3
    • Translation left 3
    • Translation up 3

  2. What single transformation maps y = f(x) to y = f(x - 2)?

    • Translation right 2
    • Translation left 2
    • Translation up 2
    • Translation down 2

  3. Which transformation maps the graph of y = f(x) onto y = -f(x)?

    • Reflection in y-axis
    • Translation by vector
    • Reflection in x-axis
    • Stretch parallel x-axis

  4. Which transformation maps the graph of y = f(x) onto y = f(-x)?

    • Reflection in x-axis
    • Reflection in y-axis
    • Stretch parallel y-axis
    • Translation by vector

  5. What transformation maps the graph of y = f(x) onto y = 3f(x)?

    • Stretch parallel y-axis
    • Translation parallel y-axis
    • Stretch parallel x-axis
    • Translation parallel x-axis

  6. What scale factor stretch parallel to the x-axis maps y = f(x) onto y = f(2x)?

    • 1/2
    • -2
    • -1/2
    • 2

  7. What is the vertex of y = (x - 1)^2 + 3?

    • (3, 1)
    • (1, -3)
    • (-1, 3)
    • (1, 3)

  8. What is the vertex of y = (x + 2)^2 - 1?

    • (-2, 1)
    • (-2, -1)
    • (2, 1)
    • (2, -1)

  9. What is the minimum point of y = 2(x^2 + 1)?

    • (0, 1)
    • (0, 4)
    • (0, 2)
    • (2, 2)

  10. Which equation results from stretching y = x^2 by factor 2 parallel to the y-axis, then translating 1 right and 3 up?

    • y = 2(x + 1)^2 + 3
    • y = 2(x - 1)^2 + 3
    • y = 2(x - 1)^2 - 3
    • y = (2x - 1)^2 + 3

  11. The point (2, 5) lies on y = f(x). Which point lies on y = f(x + 1)?

    • (2, 6)
    • (3, 5)
    • (1, 5)
    • (2, 4)

  12. The point (2, 5) lies on y = f(x). Which point lies on y = f(-x)?

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

  13. The point (4, -2) lies on y = f(x). Which point lies on y = -f(x/2)?

    • (2, 2)
    • (8, -2)
    • (2, -4)
    • (8, 2)

  14. Which column vector translates y = f(x) to y = f(x - 3) + 2?

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

  15. The graph of y = |x| is reflected in the x-axis and translated 2 units right. What is the equation?

    • y = |-x - 2|
    • y = |x - 2| + 2
    • y = -|x - 2|
    • y = -|x + 2|

  16. A curve y = f(x) has minimum point (3, -1). Where is the minimum of y = f(x - 1) + 2?

    • (4, -3)
    • (2, 1)
    • (2, -3)
    • (4, 1)

  17. What is the vertex of y = (x + 3)^2 - 2?

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

  18. If y = f(x) has roots at x = 1 and x = 4, what are the roots of y = f(2x)?

    • x = 1 and x = 4
    • x = 1/4 and x = 2
    • x = 1/2 and x = 2
    • x = 2 and x = 8

  19. A curve y = f(x) has a stationary point at (2, 5). Where is the stationary point of y = f(x - 2) + 1?

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

  20. The y-intercept of y = f(x) is 3. What is the y-intercept of y = 2f(x) + 1?

    • 7
    • 4
    • 3
    • 6

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