**Concept: The question tests on Coordinate Geometry**

**Solution:**

Method 1: This can be done by eliminating options.

Take the 1st pair (1, -1) so when x = 1, y = -1

With this Options A and B and E are eliminated as each have a coefficient of 2, which cannot give y as -1.

Option C is also eliminated as y will always be positive as the right hand side is x2x2

Option D: y = -x2x2. So when x = 1, y = -x2x2 = -1

Method 2:: Alternatively, if we look at the 4 pairs, when x is positive, y is negative and y is a square of x. This tells us that y = -x2x2**Option D**