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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.

Part of MathsAlgebra

Reflections of graphs

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.