Answer:
k=5
Step-by-step explanation:
[tex]f(x)=x^2-6x+14[/tex]
[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]
[tex]f(x)-5=x^2-6x+9[/tex]
[tex]f(x)-5=(x-3)^2[/tex]
[tex]f(x)=(x-3)^2+5[/tex]
[tex]k=5[/tex]
