a function is shown where b is a real number.
f(x) = x^2 + bx + 144
the minimum value of the function is 80.
create an equation for an equivalent function in the form f(x) = (x - h)^2 + k

Refer to interactive solution 17.45 to review a method by which this problem can be solved. the fundamental frequencies of two air columns are the same. column a is open at both ends, while column b is open at only one end. the length of column a is 0.504 m. what is the length of column b?