A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(y = f(x)\) where \(f(x) = x^2\) is the same as the ...

This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors ...

A quadratic graph is produced when you have an equation of the form \(y = ax^2 + bx + c\), where \(b\) and \(c\) can be zero but \(a\) cannot be zero. All quadratic graphs have a line of symmetry.

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. Tailor your learning with a flexible degree programme offering a wide range of ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. We place social responsibility at the heart of your learning which means you can ...

Applied mathematics is the application of mathematical techniques to describe real-world systems and solve technologically relevant problems. This can include the mechanics of a moving body, the ...

Abstract: Skeleton-based human action recognition has rapidly secured a central position in research by leveraging the abstract representation of geometric structures and temporal dynamics. However, ...