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