Square root graph

This article explores the square root graph. The general function of a square root function is shown below;

Below is the general graph for a square root function;

The shape of a square graph is similar to a square root graph shown below;

The basic shape of a square root function is literally “half of a parabola” or square (x²) graph on the positive side. Below is the table of the x-axis and y-axis with the graph.

Note in the table and graph the values are similar to the square function except reversed.
To see this effect we can reverse the values for x and y into x as shown below;
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Square root graph transformations

Square root graphs can also be transformed. The transformation may come in the form;
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If the expression inside the square root functions is linear such as ax²+b then the general graph of the square root function has been transformed i.e scaled and translated. Below is an example;
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Below are further examples of square root functions graphs;
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