In this livestream I cover a variety of topics. I have organized the topics and provided a timestamp for your convenience. If ...

👉 Learn how to graph exponential functions involving horizontal shift. An exponential function is a function that increases ...

Semigroups of transformations and endomorphisms have emerged as powerful algebraic frameworks to elucidate the underlying structures of graphs. By harnessing the principles of semigroup theory, ...

\(y = x^2 + a\) represents a translation parallel to the \(y\)-axis of the graph of \(y = x^2\). If \(a\) is positive, the graph translates upwards. If \(a\) is negative, the graph translates ...