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

Write the function in vertex form.

y=

Find the maximum temperature during the year.

The maximum temp. is ____ Fahrenheit

Answer 1

y = -3t² + 18t + 53

Use Completion of the Square

y = -3(t² - 6t) + 53

y = -3(t² - 6t + 9) + 53 + 27

y = -3(t - 3)² + 80