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

Graphs 8

18 practice questions

Practice questions

1–3 of 3 · Hard

  1. Question 1

    2 marks · Hard

    The curve y = x^2 + 2x + 1 is shown below.

    Curve for Q1-3-2-10120246810121416xyCurve for Q1
    Graph of y = x^2 + 2x + 1

    Estimate the gradient of the curve at the point where x = -1.

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  2. Question 2

    4 marks · Hard

    The graph of y = f(x) is shown below.

    (a)

    The graph is reflected in the x-axis and then translated by the vector . Write down the equation of the resulting graph in terms of f(x).

    [2 marks]
    (b)

    If the original graph is y = , write down the equation of the final transformed graph.

    [2 marks]
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  3. Question 3

    4 marks · Hard

    Below are functions f(x) and g(x):

    Describe fully the sequence of transformations that map the graph of y = f(x) onto y = g(x), giving the algebraic form, and provide the order they are applied in.

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