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3.04 Transformations of functions

Interactive practice questions

A graph of $y=x^3$y=x3 is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=x^3-4$y=x34.

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Easy
< 1min

This is a graph of $y=\frac{1}{x}$y=1x.

Easy
1min

A graph of $y=x^4$y=x4 is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=x^4-2$y=x42.

Easy
< 1min

How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?

Easy
< 1min
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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

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