Answer:
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
