Answer:
vertex = (1, 2 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² - 2x + 3 ← is in standard form
with a = 1, b = - 2 , then
x = - [tex]\frac{-2}{2}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2
vertex = (1, 2 )
