A circle is centered on point B. Points A,C and D lie on its circumfrence.
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To estimate that table given in Option (4) will define the quadratic relationship.
Therefore, the table of Option (5) will describe the quadratic relationship.
<h3>How to estimate the quadratic relationships between two tables?</h3>By estimating the second difference, if the second difference in a table exists equivalent, the table will define the quadratic relationship.
In the given option, we estimate that table given in Option (4) will define the quadratic relationship.
x y I st difference II nd difference
0 4 - -
1 -4 -4 - (4) = -8 -
2 -4 -4 - (-4) = 0 0 - (-8) = 8
3 4 4 - (-4) = 8 8 - 0 = 8
The second difference between the terms in y exists exactly as 8.
Therefore, the table of Option (4) means the quadratic relationship.
Similarly, in Option (5) we will estimate the second distinction of y terms.
x y I st difference II nd difference
0 -4 - -
1 -8 -8 - (-4) = -4 -
2 -10 -10 - (-8) = -2 -2 - (-4) = 2
3 -10 -10 - (-10) = 0 0 - (-2) = 2
Here the second difference exists identical to 2.
Therefore, the table of Option (5) will describe the quadratic relationship.
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