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 ...

Now try the example questions below. Since -1 < 0, then it is a maximum turning point. \({b^2} - 4ac\) where \(a = - 1,\,b = 2\,and\,c = - 3\) \(= {2^2} - (4 \times ...

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...