Support · Mathematics Advanced 11–12 – Year 12 · Further graph transformations and modelling
Support Apply the principles of transformations to graph transformations of the trigonometric functions f(x) = sinx, f(x) = cosx and f(x) = tanx, describe which transformations have been applied to y = f(x) and determine the domain, range, horizontal translation, vertical translation, dilation factor, period and amplitude when applicable
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Apply reflections, translations and dilations to functions within the scope of the Mathematics Advanced course, excluding trigonometric functions, determine the function rule and the graph of the transformed function, the domain and range of the transformed graph, any intercepts, asymptotes and discontinuities where appropriate, and describe which transformations have been applied
Mathematics Advanced 11–12 – Year 11 · Graph transformations Draft mapping
No checked resources on this prerequisite dot point yet.
Use the principles of translations to identify the centre, radius, domain and range of graphs of circles in the form ((x - a))² + ((y - b))² = r², where a, b and r are constants
Mathematics Advanced 11–12 – Year 11 · Graph transformations Draft mapping
No checked resources on this prerequisite dot point yet.
Recognise that the order in which individual transformations are applied to functions is important
Mathematics Advanced 11–12 – Year 11 · Graph transformations Draft mapping
No checked resources on this prerequisite dot point yet.