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Lisa [10]
2 years ago
8

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

Mathematics
2 answers:
Natasha2012 [34]2 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]2 years ago
3 0
The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x –7 )2 – 43.
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============================================

Explanation:

The domain is the set of all possible input x values. The range is the set of all possible y outputs.

Plug in each x value from the domain, one at a time, to get its corresponding range y value.

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So -3 is in the range.

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Move onto x = -1

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--------------------

All of those values form the set {-3, 1, 5} which is the complete range.

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