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Aliun [14]
3 years ago
14

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 va

lue of k?
Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

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.

1(x^{2} ?6x+9)-9+14

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

1(x?3)^{2} +5

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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