Question

Haley sets up a device to record the temperature, in °F, x hours after midnight. Hours After Midnight, x 2 3 5 7 8 Temperature (°F), y 25 20 16 20 25 Which graph appropriately displays this relationship?

Answer 1

y = (x - 5)^2 + 16

Explanation:

y (°F) Temperature

25

20

16

20

25

x (hours after midnight)

2

3

5

7

8

We can see in the picture below, the graph which appropiately displays the data points.

The function is

y = (x - 5)^2 + 16

We can easily check this represents the solution by eavluating each point

(2,25)

y = (2 - 5)^2 + 16 = 25

(3,20)

y = (3 - 5)^2 + 16 = 20

(5,16)

y = (5 - 5)^2 + 16 = 16

(7,20)

y = (7 - 5)^2 + 16 = 20

(8,25)

y = (8 - 5)^2 + 16 = 25