Answer:
y = (x + 2)² + 7
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.
add/ subtract (half the coefficient of the x term )²
y = x² + 4x + (2)² - (2)² + 11
= x² + 4x + 4 - 4 + 11
= (x + 2)² + 7 ← in vertex form
