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6.05 Graphs and transformations of exponential functions

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Outcomes

1.2.1.4

examine transformations of the graphs of 𝑓(𝑥), including dilations and reflections, and the graphs of 𝑦=𝑎f(𝑥) and 𝑦=𝑓(𝑏x), translations, and the graphs of 𝑦=𝑓(𝑥+𝑐) and 𝑦=𝑓(𝑥)+𝑑; 𝑎,𝑏,𝑐,𝑑 ∈ R

2.1.1.1

recognise and determine the qualitative features of the graph of 𝑦=𝑎^𝑥 (a>0), including asymptotes, and of its translations (𝑦=𝑎^𝑥+𝑏 and 𝑦=𝑎^(𝑥+𝑐))

2.1.1.2

recognise and determine the features of the graphs of 𝑦=𝑏.𝑎^𝑥 and 𝑦=𝑎^(𝑘x) (𝑘≠0)

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