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1.3 Functions

1.3 Functions

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Question 89

The graph of y=f(x)y = f(x)y=f(x) has a maximum point at (−2,5)(-2, 5)(−2,5) and crosses the xxx-axis at (1,0)(1, 0)(1,0).

The graph is transformed to the graph with equation

y=−2f(3x+6)+4y = -2f(3x + 6) + 4y=−2f(3x+6)+4.

a.

Describe fully the transformations applied to the graph of y=f(x)y = f(x)y=f(x).

[3]
b.

Find the coordinates and state the nature of the image of the maximum point.

[2]
c.

Find the coordinates of the image of (1,0)(1, 0)(1,0).

[1]
Markscheme

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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