Edexcel Mathematics June 2019 · Paper 1 · Question 5 · ExamRizz

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June 2019 · Paper 1 · Question 5 · 10 marks

5. f( x) = 2x2 + 4x + 9 x (a) Write f( x) in the form a(x + b)2 + c, where a, b and c are integers to be found. (3) (b) Sketch the curve with equation y = f(x) showing any points of intersection with the coordinate axes and the coordinates of any turning point. (3) (c) (i) Describe fully the transformation that maps the curve with equation y = f(x) onto the curve with equation y = g(x) where g( x) = 2( x – 2)2 + 4x – 3 x (ii) Find the range of the function h( )xxx=++21 24 92 x (4) 12