Question
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.
A. Write the function in vertex form y=__
B. Find the maximum temperature during the year.
Answers
Henry
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.
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.