Answer:
(x + 2)² + 1
Step-by-step explanation:
Given
x² + 4x + 5
To express in vertex form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
= x² + 2(2)x + 4 - 4 + 5
= (x + 2)² + 1 ← in vertex form
