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Official 2021 Paper 1 · Q18

Paper 1Algebra

The curve with equation

x=y2−6y+11x=y^2-6y+11

is rotated 90∘90^\circ clockwise about the point PP to give the curve CC.

PP has xx-coordinate −2-2 and yy-coordinate 3.

What is the equation of CC?

Ay=−x2−4x−3y=-x^2-4x-3
By=−x2−4x−5y=-x^2-4x-5
Cy=−x2−6x−7y=-x^2-6x-7
Dy=−x2−6x−11y=-x^2-6x-11
Ey=x2−4x+5y=x^2-4x+5
Fy=x2+4x+3y=x^2+4x+3
Gy=x2−6x+11y=x^2-6x+11
Hy=x2+6x+7y=x^2+6x+7

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