9709 P13 - Nov 2022 - Q5
663
The diagram shows a curve which has a maximum point at (8, 12) and a minimum point at (8, 0). The curve is the result of applying a combination of two transformations to a circle. The first transformation applied is a translation of \(\begin{pmatrix} 7 \\ -3 \end{pmatrix}\). The second transformation applied is a stretch in the y-direction.
(a) State the scale factor of the stretch.
(b) State the radius of the original circle.
(c) State the coordinates of the centre of the circle after the translation has been completed but before the stretch is applied.
(d) State the coordinates of the centre of the original circle.
