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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter

Graphs 4

17 practice questions

Practice questions

1–10 of 17

  1. Question 1

    3 marks · Easy

    The equation of a straight line is given by .

    (a)

    Write down the gradient of the line.

    [1 mark]
    (b)

    Write down the y-intercept of the line.

    [1 mark]
    (c)

    Find the value of when .

    [1 mark]
    Answer and see the solution →
  2. Question 2

    4 marks · Easy

    The table below shows some values for the quadratic equation .

    (a)
    Complete the table for \( y = x^2 + 2x + 1 \)
    x-2-1012
    y
    [2 marks]
    (b)

    Write down the coordinates of the turning point of the curve.

    [2 marks]
    Answer and see the solution →
  3. Question 3

    1 mark · Easy

    Write down the general form of a quadratic equation.

    Answer and see the solution →
  4. Question 4

    2 marks · Easy

    The graph below shows the height, y (in metres), of a skier on a ramp as a function of time, t (in seconds).

    line graph of Height, y (m) against Time, t (s)012345-101234567Time, t (s)Height, y (m)
    Graph: height of skier versus time
    Answer and see the solution →
  5. Question 5

    1 mark · Easy

    Which of the following equations represents a quadratic graph?

    1. A.y = 3x + 2
    2. B.y = 7 - 2x
    3. C.y = x^2 + 5x - 4
    4. D.y = 4/x
    Answer and check →
  6. Question 6

    2 marks · Normal

    A quadratic curve is given by the equation . Find the coordinates of the y-intercept of this curve.

    Answer and see the solution →
  7. Question 7

    3 marks · Normal

    For the quadratic equation , complete the table of values for .

    (a)
    Table for y = x^2 + 3x - 4
    x-2-10123
    y
    [3 marks]
    Answer and see the solution →
  8. Question 8

    4 marks · Normal

    A straight line has equation .

    (a)

    Write down the gradient of this line.

    [1 mark]
    (b)

    Find the y-intercept.

    [1 mark]
    (c)

    Find the value of x when y = 0.

    [2 marks]
    Answer and see the solution →
  9. Question 9

    4 marks · Normal

    The height y (in metres) of a bungee jumper above the ground t seconds after jumping is modelled by .

    Complete the following table and plot the graph of y against t for .

    t (s)0123456
    y (m)

    Use the table to plot a graph. Clearly label your axes.

    Answer and see the solution →
  10. Question 10

    2 marks · Normal

    Consider the quadratic curve . Explain how you can tell from the equation whether the curve will be U-shaped or inverted.

    Answer and see the solution →