HELP URGENT WILL GIVE BRAINLIEST

B: (x + 1) = (y - 2)²

Step-by-step explanation:

0 = y² - x - 4y + 3

We want to find the equation of the parabola in vertex form.

The format for the vertex form is;

y = a(x - h) + k

Where (h, k) is the coordinate of the vertex.

Thus, let's transform 0 = y² - x - 4y + 3 into the vertex form

Let's rearrange to get;

x - 3 = y² - 4y

Let's use method of completing the square to get right hand side;

x - 3 = (y - 2)² - 4

Add 4 to both sides to get;

x - 3 + 4 = (y - 2)²

(x + 1) = (y - 2)²