The temperature y (in degrees Fahrenheit) after t months can be modeled by the function y=-3t^2+18t+53 where 1<t<12.

Question

A. Write the function in vertex form y=__

B. Find the maximum temperature during the year.

Answer 1

y = -3(t^2-6t) + 53
= -3(t^2-6t+9) + 53 +3(9)
= -3(t-3)^2 + 71