<u>Answer:</u>
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<u>Step-by-step explanation:</u>
To write the given quadratic equation in the form y = ( x − h )^2 + k, we need to complete the square for the given equation.
y = x^2 + 26x + 160
Shift the constant to the left side of the equation:
y - 160 = x^2 + 26x
Divide the coefficient of x by 2 and add the square of the result to both sides of the equation:
26 / 2 = 13
So adding 13^2 to both sides of the equation to get:
y - 160 + (13)^2 = x^2 + 26x + (13)^2
y - 160 + 169 = (x + 13)^2
y + 9 = (x + 13)^2
y = (x + 13)^2 - 9