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Parent Function
In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family. For example, for the family of quadratic functions having the general form : y = ax^2 + bx + c\,, the simplest function is : y = x^2. This is therefore the parent function of the family of quadratic equations. For linear and quadratic functions, the graph of any function can be obtained from the graph of the parent function by simple translations and stretches parallel to the axes. For example, the graph of ''y'' = ''x'' − 4''x'' + 7 can be obtained from the graph of ''y'' = ''x'' by translating +2 units along the X axis and +3 units along Y axis. This is because the equation can also be written as ''y'' − 3 = (''x'' − 2). For many trigonometric functions, the parent function is usually a basic sin(''x''), cos(''x''), or tan(''x''). For example, the graph of ''y ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Curve Sketching
In geometry, curve sketching (or curve tracing) are techniques for producing a rough idea of overall shape of a plane curve given its equation, without computing the large numbers of points required for a detailed plot. It is an application of the theory of curves to find their main features. Basic techniques The following are usually easy to carry out and give important clues as to the shape of a curve: *Determine the ''x'' and ''y'' intercepts of the curve. The ''x'' intercepts are found by setting ''y'' equal to 0 in the equation of the curve and solving for ''x''. Similarly, the ''y'' intercepts are found by setting ''x'' equal to 0 in the equation of the curve and solving for ''y''. *Determine the symmetry of the curve. If the exponent of ''x'' is always even in the equation of the curve then the ''y''-axis is an axis of symmetry for the curve. Similarly, if the exponent of ''y'' is always even in the equation of the curve then the ''x''-axis is an axis of symmetry for the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Curves
A curve is a geometrical object in mathematics. Curve(s) may also refer to: Arts, entertainment, and media Music * Curve (band), an English alternative rock music group * ''Curve'' (album), a 2012 album by Our Lady Peace * "Curve" (song), a 2017 song by Gucci Mane featuring The Weeknd * ''Curve'', a 2001 album by Doc Walker * "Curve", a song by John Petrucci from ''Suspended Animation'', 2005 * "Curve", a song by Cam'ron from the album '' Crime Pays'', 2009 Periodicals * ''Curve'' (design magazine), an industrial design magazine * ''Curve'' (magazine), a U.S. lesbian magazine Other uses in arts, entertainment, and media * ''Curve'' (film), a 2015 film * BBC Two 'Curve' idents, various animations based around a curve motif Brands and enterprises * Curve (payment card), a payment card that aggregates multiple payment cards * Curve (theatre), a theatre in Leicester, United Kingdom * Curve, fragrance by Liz Claiborne * BlackBerry Curve, a series of phones from Research in Mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Elementary Algebra
Elementary algebra encompasses the basic concepts of algebra. It is often contrasted with arithmetic: arithmetic deals with specified numbers, whilst algebra introduces variables (quantities without fixed values). This use of variables entails use of algebraic notation and an understanding of the general rules of the operations introduced in arithmetic. Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and builds on their understanding of arithmetic. The use of variables to denote quantities allows general relationships between quantities to be formally and concisely expressed, and thus enables solving a broader scope of problems. Many quantitative relationships in science and mathematics are expressed as algebraic equations. Algebraic notation Algebraic notation describes the rules and conventions for writing mathematical expression ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |