Graph transformations
Apply reflections, translations, dilations and combined transformations; work with circles.
Functions · MAV-11-03
Sub-topics
Reflections and translations
Apply reflections in the x- and y-axes and horizontal and vertical translations to functions; determine transformation parameters from equations written in the form .
Dilations and combined transformations
Apply horizontal and vertical dilations to functions; determine the combined effect of dilations and translations on domain, range and asymptotes; identify all transformations from a given equation.
Circles
Identify the centre and radius of a circle from standard form; complete the square to convert general form to standard form; find the equation of a circle given its centre and a point on the circumference, and state its intercepts.