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

A. Write the function in vertex form y=__

B. Find the maximum temperature during the year.

1 answer

a. Y = a(x-h)^2 + k.

h = -b/2a = -18/-6 = 3,

k = -3*3^2 +18*3 + 53 = 80,

Y = -3(x-3)^2 + 80.

b. T max = k = 80o F.