First we need to complete the square to get the coordinates of the turning point. \(y = {x^2} + 2x + 3\) \(y = {(x + 1)^2} - 1 + 3\) \(y = {(x + 1)^2} + 2\) Therefore ...
Removing brackets is to multiply the term outside the brackets by each term inside - also known as the distributive law. Use FOIL to remove a pair of brackets then simplify by collecting like terms.