Answer:
- 2(t - 1)² + 32
Step-by-step explanation:
Given
- 2t² + 4t + 30
Use the method of completing the square to express in vertex form.
The coefficient of the t² term must be 1, so factor out - 2 from the first 2 terms.
= - 2(t² - 2t) + 30
To complete the square
add/subtract ( half the coefficient of the t- term)² to t² - 2t
= - 2(t² + 2(- 1)t + 1 - 1) + 30
= - 2(t - 1)² + 2 + 30
= - 2(t - 1)² + 32
