Answer:
y = (x + 2)² + 2
Explanation:
a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
y = x² + 4x + 6
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 4x
y = x² + 2(2)x + 4 - 4 + 6
= (x + 2)² + 2 ← in vertex form