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Clavis TMUA Set C Paper 1 · Q5

Paper 1Sequences & seriesAlgebra

The following sequence of transformations is applied, in order, to the curve y=x2y=x^2:

  • 1. a translation of 33 units in the positive xx-direction
  • 2. a reflection in the xx-axis
  • 3. a translation of 55 units in the positive yy-direction

Find the equation of the resulting curve.

Ay=(x−3)2+5y=(x-3)^2+5
By=−(x+3)2+5y=-(x+3)^2+5
Cy=−(x−3)2+5y=-(x-3)^2+5
Dy=−(x−3)2−5y=-(x-3)^2-5
Ey=−(x−5)2+3y=-(x-5)^2+3
Fy=(x+3)2−5y=(x+3)^2-5

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