Step-by-step explanation
From the table, we see that the distribution of temperatures (y) as a function of the month (x):
• starts from y = 62 when x = 1,
,
• increases up to the maximum y = 116 for x = 8,
,
• and then decreases to y = 69 when x = 12.
From these observations, we see that the function can be described by a parabola that opens down. The only equation that describes a parabola that opens down is option A.
Answer
A. y = -1.60x² + 22.04x + 34.64