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1.4 Graphs

1.4 Graphs

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Question 3

A rectangle has sides of length x x\,x cm and (x+4)(x+4)(x+4) cm, where x>0x>0x>0. Its area is 12 cm2^22.

a.

By completing the square, determine the dimensions of the rectangle.

[4]
b.

Find the exact length of its diagonal.

[2]
Markscheme

1.4 Graphs Questions

  1. A Level
  2. /Maths
  3. /1.4 Graphs

33 exam-style questions on OCR (MEI) A Level Maths 1.4 Graphs, covering 1.4.1 Graphs of functions, 1.4.2 Intersection points with axes, 1.4.3 Completing the square for a quadratic curve, 1.4.4 Sketch graphs of simple functions, 1.4.5 Stationary points when curve sketching, 1.4.6 Graphs of reciprocal-type functions, 1.4.7 Single transformations of graphs, 1.4.8 Combined transformations of graphs (A-level only), and 1.4.9 Stationary points of inflection (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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