Add Maths 2012 May-June Paper 21 23 Q12

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The equation of a curve is y=2x220x+37y=2x220x+37.

  1. Express yy in the form a(x+b)2+c,a(x+b)2+c, where a,ba,b and cc are integers.
  2. Write down the coordinates of the stationary point on the curve.

A function ff is defined by f:x2x220x+37f:x2x220x+37 for x>kx>k. Given that the function f1(x)f1(x) exists,

  1. write down the least possible value of kk,
  2. sketch the graphs of y=f(x)y=f(x) and y=f1(x)y=f1(x) on the axes provided,
  3. obtain an expression for f1f1.

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