Answer:
1.

2.

3.

4.

Step-by-step explanation:
1. Start with the pair (0,2)
Just because it is quick to substitute x = 0 mentally and get the answer by inspection. You will quickly notices that a), b) and c) do not match:




Thus, the answer is d)
2. Try b) y = 2x² for every point

Thus, b) y=2x² is the correct equation.
3. Since every y is negative the only possible answer is c) y = -x²
Proove it:

4. Try c) y = (1/2)x²

Thus, c) y = (1/2)x²