Lesson A12

A12 Sketching linear, quadratic, cubic and reciprocal graphs Quiz: AQA Maths, Unit 2

20 questions

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Lesson A12, Sketching linear, quadratic, cubic and reciprocal graphs: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. Which type of curve is the graph of y = 1/x?

    • Hyperbola
    • Straight line
    • Cubic curve
    • Parabola
  2. What are the asymptotes of y = 1/x?

    • x = 1 and y = 1 only
    • The lines y = x and y = -x
    • The axes x = 0 and y = 0
    • x = 0 only, the y-axis
  3. In which quadrants does the graph y = x^3 lie?

    • Third and fourth
    • Second and fourth
    • First and third
    • First and second
  4. What shape is the quadratic graph y = -x^2?

    • Inverted U-shape
    • S-shape
    • U-shape
    • Straight line
  5. Which pair of points lies on the line y = -x + 3?

    • (0, 3) and (3, 0)
    • (0, 3) and (3, 3)
    • (-3, 0) and (0, 3)
    • (0, -3) and (3, 0)
  6. Where does y = x^2 - 4 cross the y-axis?

    • At (-4, 0)
    • At (2, 0)
    • At (0, 4)
    • At (0, -4)
  7. What is the value of y when x = 2 on the graph of y = 2/x?

    • 4
    • 2
    • 0.5
    • 1
  8. Which are the x-intercepts of y = x(x - 2)(x + 1)?

    • x = -1 and 2 only
    • x = 0 and 2 only
    • x = -1, 0 and 2
    • x = 1, 0 and -2
  9. Which equation gives a straight-line graph?

    • y = 4x^3 - 9
    • y = 4x^2 - 9
    • y = 4/x - 9
    • y = 4x - 9
  10. What is the turning point of y = (x - 3)^2?

    • (-3, 0)
    • (3, 0)
    • (3, 3)
    • (0, 3)
  11. What is the x-axis for the reciprocal graph y = 1/x?

    • Asymptote
    • Tangent
    • Line of symmetry
    • Y-intercept
  12. Where does the graph of y = x^3 + 2 cross the y-axis?

    • (0, -2)
    • (0, 2)
    • (2, 0)
    • (0, 8)
  13. What is the x-coordinate of the turning point of y = x^2 - x - 6?

    • x = 1
    • x = -0.5
    • x = 3
    • x = 0.5
  14. A hire cost is £20 plus £5 per hour. What is the y-intercept of the cost graph?

    • £20
    • £5
    • £25
    • £0
  15. Where does y = 2x - 4 cross the x-axis?

    • x = 2
    • x = -2
    • x = 4
    • x = -4
  16. Area 12 is fixed, and a rectangle has width x and length y = 12/x. What happens to y as x increases?

    • y increases without limit
    • y decreases towards zero
    • y stays the same
    • y becomes negative
  17. For y = -x^3, what is the sign and value of y when x = 2?

    • Positive, y = 8
    • Positive, y = 6
    • Negative, y = -6
    • Negative, y = -8
  18. What is the y-intercept of the exponential graph y = 2^x?

    • (0, 1)
    • (1, 0)
    • (0, 0)
    • (0, 2)
  19. (H) What is the value of sin 90 degrees?

    • 1
    • 0.5
    • 0
    • -1
  20. (H) What is the maximum value of y = sin x for angles from 0 to 360 degrees?

    • 2
    • 1
    • 360
    • 0

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