Transformation of curves - Higher - OCRReflections of graphs

Functions of graphs can be transformed to show shifts and reflections. Graphic designers and 3D modellers use transformations of graphs to design objects and images.

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Reflections of graphs

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Graphs can also be reflected in either the \(x\) or \(y\) axes.

Reflections in the x-axis

\(y = -(x^2)\) represents a reflection of the graph of \(y = x^2\) in the \(x\)-axis.

Graph showing that if y= x^2, then y = -(x^2)

Reflections in the y-axis

\(y = (-x)^3\) represents a reflection of the graph of \(y = x^3\) in the \(y\)-axis.

A graph showing y = -(x3) as a reflection of the graph of y = x3 in the y-axis.