<parabola>

<parabola> is a Graphical component that renders a parabola when nested inside a <graph> component.

Attributes and Properties

Example: Default <parabola>

The default <parabola> renders the graph of the equation $y = x^2$. It is not draggable.

Example: <parabola> passing through 3 points

A <parabola> can be rendered when 3 throughPoints are specified with the through attribute.

Example: <parabola> with vertex and throughPoint

A <parabola> can be rendered by specifying the vertex and a single throughPoint.

Attribute Example: through

<graph size="small">
  <parabola 
    name="parab1" 
    vertex="(2,2)" 
    through="(5,-8)"
  />
</graph>
 
<p><c>throughPoints</c> = $parab1.throughPoints</p>

The through attribute specifies a point or points the parabola passes through.

Attribute Example: vertex

<graph size="small">
  <parabola 
    name="parab1" 
    vertex="(2,2)" 
    through="(5,-8)"
  />
</graph>
 
<p><c>vertex</c> = $parab1.vertex</p>

The vertex attribute specifies the maximum or minimum point on the parabola.

Example: flipFunction

<graph>
  <parabola flipFunction/>
  <parabola 
    vertex="(4,4)" 
    flipFunction 
    styleNumber="2"
  />
</graph>

The flipFunction attribute is used to define a quadratic function in $y$.

Attribute Example: Standard graphical attributes

The uses of the following standard graphical attributes are illustrated: hide, layer, styleNumber, applyStyleToLabel and labelIsName.

Property Example: Style properties

The styleDescription and styleDescriptionWithNoun properties render a text description corresponding to the styleNumber of the component.

Property Example: a, b, c

The a, b and c properties return the coefficients of the parabola’s equation in general form.