9514 1404 393
Answer:
(b) y = -2.5x² -5.5x +1.5
Explanation:
The table entry (0, 1.5) tells you that the y-intercept is 1.5. That eliminates choices C and D.
Substituting x=4 into the first equation (choice A) shows you it is incorrect:
y = -5.5(4²) -2.5(4) +1.5 = -88 -10 +1.5 = -96.5 . . . not -60.5
This only leaves choice B, a choice confirmed by a quadratic regression using a graphing calculator (or spreadsheet).
y = -2.5x² -5.5x +1.5