Willie changes the quadratic function f(x)=x2? 6x+14 to vertex form f(x)=a(x? h)2+k. if willie does this correctly, what is the value of k?

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.

Upon completing the square and combining like terms we will get,

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

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