Quadratic relationship
In a quadratic relationship, the magnitud of y grows more and more.
A linear relationship, for example, is different because it always grows the same.
Their graphs look like:
Let's find how the magnitude of y change on each table:
First choice
From y = 3 to y = 4, it changes 1,
from y = 4 to y = 5 it changes 1
from y = 5 to y = 6 it changes 1.
CONLUSION: it always change the same, that is why it is a linear relationship
Second choice
From y = -4 to y = -8, it changes 4 unities,
from y = -8 to y = -10 it changes 2
from y = -10 to y = -10 it changes 0.