Answer:
y = (x + 1)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier.
To obtain this form use the method of completing the square
Given
y = x² + 2x + 7
add/subtract ( half the coefficient of the x- term )² to x² + 2x
y = x² + 2(1)x + 1 - 1 + 7
= (x + 1)² + 6 ← in vertex form
