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If we express 2x^2 + 6x + 11 in the form a(x - h)^2 + k, then what is h?

 Jan 23, 2022
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First we can label some of the variables. 

 

a = 2 because it is the coefficient of \(x^2\).

\(2(x - h)^2 + k\)  and we can now foil \((x - h)^2\)

 

We foil it into \(x^2 + h^2 + 2xh\) and we have to multiply that by 2. We can see now that 4hx = 6x in the expression in the question getting: 

 

\(h = 1.5\)

 

This is valid because we are not given the value of variable k.

 

laugh

 Jan 23, 2022

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