TO write the function into vertex form, we need to add one zero and the solution is shown below:f(x)= x² -6x +1Add one zero in the form of -9 and 9, such as:f(x) = x² -6x +1 -9 +9f(x) = (x² -6x +9) +(1-9)f(x) = (x-3)² + (-8)f(x) = (x-3)² - 8This is the vertex form of the given function and only one zero is being added.