Answer:
vertex = (3, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is calculate as
x = - [tex]\frac{b}{2a}[/tex]
y = x² - 6x + 10 ← is in standard form
with a = 1, b = - 6 , then
x = - [tex]\frac{-6}{2}[/tex] = 3
Substitute x = 3 into the equation for corresponding y- coordinate
y = 3² - 6(3) + 10 = 9 - 18 + 10 = 1
vertex = (3, 1 )
