08 Parabola

Photo: Parabola tool on TactiPad ; X to the power of 2 / (X)^2

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Detailed description

The inner space of this U-shaped tool is a parabola. It has the contour of the function X to the power of two. The two poles of the U have indented centimetre indications along the outside. Three medium size alignment indents are provided; one in the middle of the bottom side and one in each of the two poles.
Pushpin markers are provided in the top surface of the tool. The contour of the graph goes down and up again. At the two ends of the contour pen blockers are provided. Indented positions along the curve reflect Y values for X equals -2, -1, -0,5, 0, 0,5, 1 and 2.

Parabola manual

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Photo: A parabola has been drawn at X=0 and Y=0. The tool is positioned to create a second one at X-3 and Y=2.the ruler serves for the alignment.

Steps

Draw an X and Y axis with the ruler. Align the bottom indent with the Y axis and the ones in the poles with the X axis. Draw along the inner contour of the tool.

Lowest value for Y. You may choose any other coordinate as the minimum for the y value. The centimetre indications help to align the tool with the axes or the ruler.