Algebra help needed

Question

The town of Coldwater had a sudden winter storm that caused temperatures to plummet. During the storm, the temperature T in degrees Fahrenheit could be modeling by the function: T(X)=0.8^2-16x+60

-What was the temperature as the storm began?

-When did the minimum(lowest) temperature of the storm occur?

-What was the minimum temperature?

Answer 1

A)

Temperature when the storm began occurs at x=0 (x represents time)

T(0)=0.8(0)²-16(0)+60= 60 °F

B)

Time where lowest temperature occurs is found by solving for the x-coordinate of the minimum point which is the axis of symmetry.

Axis of symmetry=-b/2a where a=0.8 and b=-16 therefore,

Axis of Symmetry=(--16)/(2*0.8)=10

C)

Minimum temperature can be found by plugging in the x-coordinate of the axis if symmetry into the temperature function

T(10)=0.8(10)²-16(10)+60= -20 °F