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Lisa [10]
3 years ago
8

The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 – .

Mathematics
2 answers:
Natasha2012 [34]3 years ago
7 0

Answer:

h(x)=(x-7)^{2} -43

Step-by-step explanation:

The given function is

h(x)=x^{2}-14x+6

The vertex form is obtained by "completing the square". First, we have to add and subtract a term, which is formed by the squared power of half the coefficient of the linear term:

x^{2}-14x+6\\x^{2}-14x+6+(\frac{14}{2} )^{2}-(\frac{14}{2} )^{2}\\x^{2} -14x+6+7^{2}-7^{2}\\x^{2} -14x+7^{2} +6-7^{2}\\(x-7)^{2} +6-7^{2} =(x-7)^{2} +6-49\\(x-7)^{2} -43

Therefore, the expression would be h(x)=(x-7)^{2} -43

EastWind [94]3 years ago
3 0
The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x –7 )2 – 43.
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