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, ...

This circle has the centre at the origin and a radius of 1 unit. The point P can move around the circumference of the circle. At point P the \(x\)-coordinate is \(\cos{\theta}\) and 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 ...

What do you think the graph of \(y = \cos 2x^\circ\) would look like? amplitude = 1, so the distance between the maximum and minimum values is 2 number of waves = 2 (period is 360˚ ÷ 2 = 180˚) graph ...