Lesson T2.4.3

T2.4.3 Quadratic graphs Quiz: KS3 Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T2.4.3, Quadratic graphs: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. What shape is the graph of y = x²?

    • A circle centred on the origin
    • A U-shaped curve (a parabola)
    • A wave that repeats itself
    • A straight line through the origin

  2. What is the value of y when x = -3 in y = x²?

    • 3
    • 9
    • 6
    • -9

  3. What is the y-coordinate of the lowest point of the graph of y = x² + 1?

    • 1
    • 2
    • 0
    • -1

  4. Where does the graph of y = x² - 4 cross the x-axis?

    • It never crosses the x-axis
    • At x = 4 only
    • At x = -4 and x = 4
    • At x = -2 and x = 2

  5. Where does the graph of y = x² - 4 cross the y-axis?

    • (0, -4)
    • (4, 0)
    • (-4, 0)
    • (0, 4)

  6. What is the value of y = 2x² - 3 when x = 2?

    • -1
    • 11
    • 5
    • 8

  7. What is the value of y = x² - 2x when x = 3?

    • 1
    • -3
    • 5
    • 3

  8. Which line is the line of symmetry of y = x²?

    • The x-axis (y = 0)
    • The line x = 1
    • The y-axis (x = 0)
    • The line y = x

  9. Which description fits the graph of y = -x²?

    • Opens downwards, with its lowest point at (0, 0)
    • Opens upwards, with its highest point at (0, 0)
    • Opens upwards, with its lowest point at (0, 0)
    • Opens downwards, with its highest point at (0, 0)

  10. For which x-values is y = x² - 5x equal to zero?

    • x = 0 and x = 5
    • x = 1 and x = 5
    • x = 5 only
    • x = 0 and x = -5

  11. A ball is thrown so its height in metres is h = 20t - 5t² after t seconds. What is its height after 2 seconds?

    • 30 m
    • 40 m
    • 10 m
    • 20 m

  12. Which point lies on the graph of y = x²?

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

  13. Where is the lowest point of the graph of y = (x - 2)²?

    • (0, -2)
    • (0, 2)
    • (-2, 0)
    • (2, 0)

  14. What is the value of y = x² + 2x - 3 when x = 1?

    • 2
    • -3
    • 6
    • 0

  15. Which values of x satisfy x² = 9?

    • x = 9 only
    • x = 3 only
    • x = 3 and x = -3
    • x = -9 and x = 9

  16. Where does the graph of y = x² - x - 2 cross the x-axis?

    • x = 1 and x = -2
    • x = -1 and x = -2
    • x = -1 and x = 2
    • x = 1 and x = 2

  17. As x increases from 1 to 2, by how much does y = x² increase?

    • 4
    • 3
    • 1
    • 5

  18. How many times does y = x² + 6x + 9 cross the x-axis?

    • Twice, crossing at two points
    • Never, it stays above the axis
    • Twice, at x = 3 and x = -3
    • Just once, touching at x = -3

  19. Where do the graphs of y = x² and y = 4 meet?

    • x = 4 and x = -4
    • x = 2 and x = -2
    • x = 2 only
    • x = 4 only

  20. Compared with y = x², how does the graph of y = 3x² look?

    • Shallower, with its lowest point at (0, 3)
    • Steeper, with the same lowest point (0, 0)
    • The same shape moved up by 3
    • Opens downwards like y = -x²

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