Answer:
vertex = (3, - 8 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 6x + 1 ← is in standard form
with a = 1 and b = - 6 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-6}{2}[/tex] = 3
Substitute x = 3 into the function for y
y = 3² - 6(3) + 1 = 9 - 18 + 1 = - 8
vertex = (3, - 8 )
