Answer:
vertex = (5, - 9 )
Step-by-step explanation:
given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 10x + 16 ← is in standard form
with a = 1, b = - 10 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2(1)}[/tex] = - [tex]\frac{-10}{2}[/tex] = - (- 5) = 5
substitute x = 5 into the function y, for corresponding value of y
y = 5² - 10(5) + 16 = 25 - 50 + 16 = - 9
vertex = (5, - 9 )
