In fact, talking with the patient may be the most important diagnostic tool the doctor has. The recommendation is that doctors routinely screen all individuals for depression. This screening might occur during a visit for a chronic illness, at an annual wellness visit, or during a pregnancy or postpartum visit.
1 is called the standard form, 2  is called the factored form, where x1 and x2 are the roots of the quadratic function and the solutions of the corresponding quadratic equation. 3  is called the vertex form, where h and k are the x and y coordinates of the vertex, respectively.
From here, finding the vertex is very simple: take the value in the parentheses #(-2)#, and reverse the sign, so that now you have #2#. Congratulations, you just found your #x#-value of the coordinate pair. To find the #y#-value, just take the value of the constant, and don't change any signs; just leave it alone. Now you have all you need to create a coordinate pair. #(2, -3)# is the vertex, and lest's just confirm that by graphing the original equation. graph{y=x^2-4x+1}. And the vertex is #(2,-3)#!