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1.1 Algebra and functions

1.1 Algebra and functions

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Question 66
81%

A curve C C\,C has equation y=f(x)y = f(x)y=f(x) where

f(x)=−3x2+18x+4 f(x) = -3x^2 + 18x + 4 f(x)=−3x2+18x+4
a.

Write f(x)f(x)f(x) in the form a(x+b)2+ca(x + b)^2 + ca(x+b)2+c, where aaa, b b\,b and c c\,c are constants to be found.

[3]
b.

Find the coordinates of PPP, the maximum turning point.

[2]
Markscheme

1.1 Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.1 Algebra and functions

306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.

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