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Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k :

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Put the equation $y = x^2 + 26 x + 160$ into the form y = ( x − h )^2 + k

Given equation is $y = x^2 + 26 x + 160$

We apply completing the square method

we take coefficient of middle term and then divide by 2 and then square it

coefficient of middle term is 26

Divide by 2, it becomes 13

then we square it (13)^2 = 169

Add and subtract 169

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$y = (x + 13)^2 - 9$

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