To sketch a quadratic function you must first determine the roots, nature and coordinates of the turning point and the y-intercept. Practice sketching a quadratic function ahead of your National 5 ...

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 ...