June 2022 Paper 3 Q1

OCR MEICurrent spec2 marksSketching & Transforming Graphs

1 A curve for which \(y\) is inversely proportional to \(x\) is shown below.

Graph on a grid, x from −4 to 6 and y from −3 to 4. One branch in the first quadrant passes through (1, 2) and (2, 1) and approaches the x-axis; the other branch in the third quadrant passes through (−2, −1) and (−1, −2).

Find the equation of the curve. [2]