Answer:
5(x - 1)² - 1
Step-by-step explanation:
Given
5x² - 10x + 4
Using the method of completing the square
The coefficient of the x² term must be 1 , so factor out 5 from the first 2 terms
= 5(x² - 2x) + 4
add/ subtract ( half the coefficient of the x- term )² to x² - 2x
= 5(x² + 2(- 1)x + 1 - 1 ) + 4
= 5(x - 1)² - 5 + 4
= 5(x - 1)² - 1 ← in vertex form
