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Official 2020 Paper 1 · Q10

Paper 1Sequences & seriesAlgebra

The following sequence of transformations is applied to the curve y=4x2y=4x^2.

  1. Translation by (3−5)\begin{pmatrix}3\\-5\end{pmatrix}
  2. Reflection in the xx-axis
  3. Stretch parallel to the xx-axis with scale factor 2

What is the equation of the resulting curve?

Ay=−x2+12x−31y=-x^2+12x-31
By=−x2+12x−41y=-x^2+12x-41
Cy=x2+12x+31y=x^2+12x+31
Dy=x2+12x+41y=x^2+12x+41
Ey=−16x2+48x−31y=-16x^2+48x-31
Fy=−16x2+48x−41y=-16x^2+48x-41
Gy=16x2−48x+31y=16x^2-48x+31
Hy=16x2−48x+41y=16x^2-48x+41

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