Answer:
The value of k is 5.
Step-by-step explanation:
Since we know we can convert function's quadratic form to vertex form by completing the square.
f(x)=x2?6x+14
We will add and subtract 9 to our equation in order to complete the square.
[tex]1(x^{2} ?6x+9)-9+14[/tex]
Upon completing the square and combining like terms we will get,
[tex]1(x?3)^{2} +5[/tex]
Upon comparing Willie's vertex form with our expression we can see that k is 5.
Therefore, the value of k is 5.
