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 ...

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 ...

where a, b, and c are numerical constants and c is not equal to zero. Note that if c were zero, the function would be linear. An advantage of this notation is that it can easily be generalized by ...

Functions are fundamental in mathematics, describing relationships between inputs and outputs. For instance, linear functions are used to describe proportional relationships such as calculating cost ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

Google's Doodle illustrates how the equation can be applied to real-life scenarios across various fields, including physics, ...