| dbo:abstract
|
- In analytic geometry, a truncus is a curve in the Cartesian plane consisting of all points (x,y) satisfying an equation of the form where a, b, and c are given constants. The two asymptotes of a truncus are parallel to the coordinate axes. The basic truncus y = 1 / x2 has asymptotes at x = 0 and y = 0, and every other truncus can be obtained from this one through a combination of translations and dilations. For the general truncus form above, the constant a dilates the graph by a factor of a from the x-axis; that is, the graph is stretched vertically when a > 1 and compressed vertically when 0 < a < 1. When a < 0 the graph is reflected in the x-axis as well as being stretched vertically. The constant b translates the graph horizontally left b units when b > 0, or right when b < 0. The constant c translates the graph vertically up c units when c > 0 or down when c < 0.The asymptotes of a truncus are found at x = -b (for the vertical asymptote) and y = c (for the horizontal asymptote). This function is more commonly known as a reciprocal squared function, particularly the basic example . (en)
|
| dbo:thumbnail
| |
| dbo:wikiPageID
| |
| dbo:wikiPageLength
|
- 1918 (xsd:nonNegativeInteger)
|
| dbo:wikiPageRevisionID
| |
| dbo:wikiPageWikiLink
| |
| dbp:wikiPageUsesTemplate
| |
| dcterms:subject
| |
| rdf:type
| |
| rdfs:comment
|
- In analytic geometry, a truncus is a curve in the Cartesian plane consisting of all points (x,y) satisfying an equation of the form where a, b, and c are given constants. The two asymptotes of a truncus are parallel to the coordinate axes. The basic truncus y = 1 / x2 has asymptotes at x = 0 and y = 0, and every other truncus can be obtained from this one through a combination of translations and dilations. This function is more commonly known as a reciprocal squared function, particularly the basic example . (en)
|
| rdfs:label
|
- Truncus (mathematics) (en)
|
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:depiction
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:wikiPageDisambiguates
of | |
| is dbo:wikiPageWikiLink
of | |
| is foaf:primaryTopic
of | |
