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Beyond Horizon Set 2 Paper 1 · Q9

Paper 1Sequences & seriesAlgebra

This sequence of transformations is applied to the curve y=3x2y=3x^2:

  • 1. Translation by (2−4)\begin{pmatrix}2\\-4\end{pmatrix}
  • 2. Reflection in the yy-axis
  • 3. Stretch parallel to the yy-axis with scale factor 33

What is the equation of the resulting curve?

Ay=−3x2+8x−12y=-3x^2+8x-12
By=−3x2+8x−6y=-3x^2+8x-6
Cy=9x2−16x+12y=9x^2-16x+12
Dy=9x2+36x+24y=9x^2+36x+24
Ey=−27x2+24x−36y=-27x^2+24x-36
Fy=−27x2+24x−18y=-27x^2+24x-18

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