`<parabola>`

A parabola defined by formula or geometric parameters

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

Attributes and Properties

Attributes for `<parabola>`

Number display (5)

avoidScientificNotation

boolean. Default value: false. Whether to render numbers in full decimal form rather than scientific notation.

displayDecimals

integer. Default value: 2. Number of decimal places to display when rendering this number.

displayDigits

integer. Default value: 3. Number of significant digits to display when rendering this number.

displaySmallAsZero

number. Default value: 1e-14. Threshold below which numbers are displayed as zero.

padZeros

boolean. Default value: false. Whether to pad displayed numbers with trailing zeros to fill the requested digits/decimals.

Labels (1)

labelIsName

boolean. Default value: false. Whether to use this component's name as its rendered label.

Other (17)

applyStyleToLabel

boolean. Default value: false. Whether to apply this component's selected style to its label.

draggable

boolean. Default value: true. Whether the curve can be dragged on a graph.

extrapolateBackward

boolean. Default value: false. Whether to extrapolate the curve before its first defined point.

extrapolateForward

boolean. Default value: false. Whether to extrapolate the curve beyond its last defined point.

flipFunction

boolean. Default value: false. Whether to swap the function and its argument (i.e., reflect across y=x).

labelPosition

keyword. Position of the curve's label relative to the curve.

Value	Description
`upperRight` (default)	Place the label above and to the right of the curve.
`upperLeft`	Place the label above and to the left of the curve.
`lowerRight`	Place the label below and to the right of the curve.
`lowerLeft`	Place the label below and to the left of the curve.
`top`	Place the label directly above the curve.
`bottom`	Place the label directly below the curve.
`left`	Place the label directly to the left of the curve.
`right`	Place the label directly to the right of the curve.

layer

integer. Default value: 0. Z-order layer index used to stack graphical components (higher values render on top).

lineStyle

keyword. Stroke style for lines.

Value	Description
`solid`	Continuous, unbroken stroke.
`dashed`	Stroke composed of evenly-spaced dashes.
`dotted`	Stroke composed of evenly-spaced dots.

lineWidth

number. Stroke width for lines, in pixels.

nearestPointAsCurve

boolean. Default value: false. Whether nearest-point queries should treat this as a curve in the plane rather than a graph y = f(x).

numDiscretizationPoints

number. Default value: 1000. Number of points used when discretizing the curve for rendering.

periodic

boolean. Default value: false. Whether the curve is treated as periodic when interpolating between control points.

showCoordsWhenDragging

boolean. Default value: true. Whether to show coordinate labels while dragging the curve.

splineForm

keyword. Form of spline used to interpolate between control points.

Value	Description
`centripetal` (default)	Centripetal Catmull-Rom spline (avoids self-intersection at sharp turns).
`uniform`	Uniform Catmull-Rom spline with evenly spaced parameterization.

splineTension

number. Default value: 0.8. Tension parameter used when fitting a spline through control points.

through

pointList. Points the parabola passes through.

vertex

[ point ]. The vertex of the parabola.

Common to all components (9)

copy

reference. Create an independent copy of another component by reference. Enter a references a $name.

disabled

boolean. Default value: false. Whether this component is disabled and cannot be interacted with.

extend

reference. Extend another component by reference, inheriting its children and attributes. Enter a reference as $name.

fixed

boolean. Default value: false. Whether this component's value is fixed and cannot be modified.

fixLocation

boolean. Default value: false. Whether this component's location is fixed (preventing it from being moved while still allowing other modifications).

hide

boolean. Default value: false. Whether to hide this component from the rendered output.

isResponse

boolean. Default value: false. Whether this component is treated as a response for the purposes of assessment.

name

text. The name used to reference this component from elsewhere in the document.

styleNumber

integer. Default value: 1. The style number used to select this component's visual styling from the available style definitions.

Properties for `<parabola name="p">`

Number display (5)

$p.avoidScientificNotation

boolean. Whether to render numbers in full decimal form rather than scientific notation.

$p.displayDecimals

integer. Number of decimal places to display when rendering this number.

$p.displayDigits

integer. Number of significant digits to display when rendering this number.

$p.displaySmallAsZero

number. Threshold below which numbers are displayed as zero.

$p.padZeros

boolean. Whether to pad displayed numbers with trailing zeros to fill the requested digits/decimals.

Labels (2)

$p.label

label. The label rendered with this component.

$p.labelIsName

boolean. Whether to use this component's name as its rendered label.

Other (26)

$p.a

number. The leading coefficient of the parabola (in y = a x^2 + b x + c).

$p.applyStyleToLabel

boolean. Whether to apply this component's selected style to its label.

$p.b

number. The linear coefficient in y = a x^2 + b x + c.

$p.c

number. The constant term in y = a x^2 + b x + c.

$p.disabled

boolean. Whether this component is disabled and cannot be interacted with.

$p.draggable

boolean. Whether the curve can be dragged on a graph.

$p.equation

math. The parabola's equation as a math expression.

$p.extrapolateBackward

boolean. Whether to extrapolate the curve before its first defined point.

$p.extrapolateForward

boolean. Whether to extrapolate the curve beyond its last defined point.

$p.fixed

boolean. Whether this component's value is fixed and cannot be modified.

$p.fixLocation

boolean. Whether this component's location is fixed (preventing it from being moved while still allowing other modifications).

$p.flipFunction

boolean. Whether to swap the function and its argument (i.e., reflect across y=x).

$p.hidden

boolean. Whether this component is hidden from the rendered output.

$p.labelPosition

text. Position of the curve's label relative to the curve.

$p.layer

integer. Z-order layer index used to stack graphical components (higher values render on top).

$p.numDiscretizationPoints

number. Number of points used when discretizing the curve for rendering.

$p.parMax

number. Maximum value of the parabola's parameter.

$p.parMin

number. Minimum value of the parabola's parameter.

$p.periodic

boolean. Whether the curve is treated as periodic when interpolating between control points.

$p.showCoordsWhenDragging

boolean. Whether to show coordinate labels while dragging the curve.

$p.splineForm

text. Form of spline used to interpolate between control points.

$p.splineTension

number. Tension parameter used when fitting a spline through control points.

$p.styleDescription

text. A textual description of the curve's style.

$p.styleDescriptionWithNoun

text. Style description including the word "parabola".

$p.throughPoints

[ math ]. Points the parabola passes through.

$p.vertex

[ math ]. The vertex coordinates of the parabola.

Common to all components (4)

$p.doenetML

text. The DoenetML source code that produced this component.

$p.hide

boolean. Whether to hide this component from the rendered output.

$p.isResponse

boolean. Whether this component is treated as a response for the purposes of assessment.

$p.styleNumber

integer. The style number used to select this component's visual styling from the available style definitions.

Examples

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 Examples

Attribute Example: through

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

Attribute Example: vertex

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

Attribute Example: flipFunction

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 Examples

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.

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<parabola>