Answer:
y = x² - 4x + 5
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
Here (h, k) = (2, 1) and a = 1, thus
y = (x - 2)² + 1 ← expand parenthesis using FOIL
= x² - 4x + 4 + 1
= x² - 4x + 5
