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

Graphs 5

17 practice questions

Practice questions

1–10 of 17

  1. Question 1

    1 mark · Easy

    Write down the equation of the line parallel to that passes through the origin.

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  2. Question 2

    1 mark · Easy

    Find the value of y when x = 2 for the function y = x^2 + 3.

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  3. Question 3

    1 mark · Easy

    Describe the transformation that maps the graph of y = f(x) onto the graph of y = f(x - 3).

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  4. Question 4

    2 marks · Easy

    Work out the value of y when x = -1 for the cubic function y = x^3 + 2x + 5.

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  5. Question 5

    3 marks · Easy

    The graph of y = x^2 + 1 is translated 2 units up.

    (a)

    Write down the equation of the new graph.

    [1 mark]
    (b)

    State the coordinates of the minimum point of the original graph y = x^2 + 1.

    [1 mark]
    (c)

    State the coordinates of the minimum point after the translation.

    [1 mark]
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  6. Question 6

    2 marks · Easy

    Calculate the y-intercept of the quadratic curve y = 2x^2 - 3x + 7.

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  7. Question 7

    1 mark · Easy

    What is the name of the graphical shape formed by the function y = x^2?

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  8. Question 8

    2 marks · Normal

    Find the gradient of the straight line passing through the points (2, 7) and (6, 3).

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  9. Question 9

    4 marks · Normal

    The line l has equation .

    (a)

    Write down the gradient of l.

    [1 mark]
    (b)

    Find the gradient of a line perpendicular to l.

    [1 mark]
    (c)

    Find the equation of a line perpendicular to l that passes through the point (2, 1), giving your answer in the form .

    [2 marks]
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  10. Question 10

    2 marks · Normal

    Find the mid-point of the line joining the points A(3, -4) and B(-5, 6).

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