Which quadratic rule represents the data in the table?
x
–1
0
1
2
3
y
4
5
4
1
–4
A. y = –2x² + 5
B. y = –x² + 5
C. y = x² – 5
D. y = x² + 5
The quadratic rule that represents the data in the table is:
y = -x² + 5
To see this, we can plug in each value of x from the table and confirm that the corresponding y-values match:
When x = -1, y = -(-1)² + 5 = 4
When x = 0, y = -(0)² + 5 = 5
When x = 1, y = -(1)² + 5 = 4
When x = 2, y = -(2)² + 5 = 1
When x = 3, y = -(3)² + 5 = -4
Therefore, the answer is B.