Answer:
Vertex: (3, 23)
Step-by-step explanation:
a = -1 b = 6 c = 14
x vertex = [tex]\frac{-b}{2a}[/tex]
[tex]\frac{-6}{-2}=3[/tex]
[tex]f(x)-x^{2} +6x+14\\f(3) = -(3)^{2}+6(3) + 14 \\f(3)=-9+18+14\\f(3)=23[/tex]