Vloženo: Leden 28, 2014 at 9:02 pm
Štítky: Brunetky, hd porno, masturbace
Reflections produce a mirror image of a function. How to Graph a Parabola: 13 Steps (with Pictures) - wikiHow July 2016 Thus, dividing the input by a constant stretches the function in the x direction, and multiplying the input by a constant shrinks the function in the x direction. In general, the equation for horizontal scaling is: where [latex]f(x)[/latex] is some function and [latex]c[/latex] is an arbitrary constant. 20 May 2020. A vertical reflection is a reflection across the [latex]x[/latex]-axis, given by the equation: In this general equation, all [latex]y[/latex] values are switched to their negative counterparts while the [latex]x[/latex] values remain the same. (adsbygoogle = window.adsbygoogle || []).push({}); Transformations alter a function while maintaining the original characteristics of that function. Now lets analyze horizontal scaling. This is accomplished by multiplying either [latex]x[/latex] or [latex]y[/latex] by a constant, respectively. The original function we will use is: Translating the function up the [latex]y[/latex]-axis by two produces the equation: And translating the function down the [latex]y[/latex]-axis by two produces the equation: Vertical translations: The function [latex]f(x)=x^2[/latex] is translated both up and down by two. If [latex]c[/latex] is greater than one the function will undergo horizontal shrinking, and if [latex]c[/latex] is less than one the function will undergo horizontal stretching. The reflection of a function can be performed along the [latex]x[/latex]-axis, the [latex]y[/latex]-axis, or any line. This is no different from any other parabola. where [latex]f(x)[/latex] is some given function and [latex]b[/latex] is the constant that we are adding to cause a translation. Stretching and shrinking refer to transformations that alter how compact a function looks in the [latex]x[/latex] or [latex]y[/latex] direction. This change will cause the graph of the function to move, shift, or stretch, depending on the type of transformation. A horizontal reflection is given by the equation [latex]y = f(-x)[/latex] and results in the curve being “reflected” across the y-axis. For this section we will focus on the two axes and the line [latex]y=x[/latex]. Let’s use a basic quadratic function to explore vertical translations. Start with the basic parabola: y = x2. September 2018 February 2016 Manipulate functions so that they stretch or shrink. Draw a smooth line through the points you've graphed. To translate a function vertically is to shift the function up or down. Research source. You should include at least two values above and below the middle value for x in the table for the sake of symmetry. This article was co-authored by Jake Adams. If a positive number is added, the function shifts up the [latex]y[/latex]-axis by the amount added. Thank you. September 2013 As an example, let the original function be: The reflected equation, as reflected across the line [latex]y=x[/latex], would then be: Reflection over [latex]y=x[/latex]: The function [latex]y=x^2[/latex] is reflected over the line [latex]y=x[/latex]. As an example, let [latex]y=x^2[/latex]. Approved. August 2015 In this case the axis of symmetry is x = 0 (which is the y-axis of the coordinate plane). Parabolas are also symmetrical which means they can be folded along a line so that all of the points on one side of the fold line coincide with the corresponding points on the other side of the fold line. A vertical translation is generally given by the equation [latex]y=f(x)+b[/latex]. November 2019 By using this service, some information may be shared with YouTube. February 2019 References If you want a shortcut for shifting a parabola without having to find its vertex again and re-plotting several points on it, you'll need to understand how to read the equation of a parabola and learn to shift it vertically or horizontally. 20 May 2020. If we rotate this function by 90 degrees, the new function reads: [latex][xsin(\frac{\pi}{2}) + ycos(\frac{\pi}{2})] = [xcos(\frac{\pi}{2}) - ysin(\frac{\pi}{2})]^2[/latex]. As an example, let [latex]f(x) = x^3[/latex]. Choose convenient values for x. The general equation for a horizontal shift is given by: Where [latex]f(x)[/latex] would be the original function, and [latex]a[/latex] is the constant being added or subtracted to cause a horizontal shift. March 2014 Vertical reflection: The function [latex]y=x^2[/latex] is reflected over the [latex]x[/latex]-axis. Licensed CC BY-SA 4.0. To graph a parabola, use the coefficient a and coefficient b values from your parabolic equation in the formula x = -b ÷ 2a to solve for x, which is the first coordinate of the vertex. to find sites to help me and learn it myself. In order to graph a parabola, you need to find its vertex as well as several points on either side of the vertex in order to mark the path that the points travel. Shifting the function to the right by two produces the equation: [latex]\displaystyle \begin{align} y &= f(x-2)\\ & = (x-2)^2 \end{align}[/latex]. The four main types of transformations are translations, reflections, rotations, and scaling. March 2013 [7] Expert Source Thanks to all authors for creating a page that has been read 166,475 times. Jake Adams. The movement is caused by the addition or subtraction of a constant from a function. December 2013 If we want to vertically stretch the function by a factor of three, then the new function becomes: [latex]\displaystyle \begin{align} y &= 3f(x) \\ &= 3\sin(x) \end{align}[/latex]. A rotation is a transformation that is performed by “spinning” the object around a fixed point known as the center of rotation. To make a table, simply choose a value for x, such as 0, and plug it into the original equation to solve for y. The coordinates of the vertex are sometimes known as (h, k). Calculate the corresponding values for y or f(x). March 2012 {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/7\/7e\/Graph-a-Parabola-Step-1-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-1-Version-2.jpg","bigUrl":"\/images\/thumb\/7\/7e\/Graph-a-Parabola-Step-1-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-1-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> License: Creative Commons<\/a> Ashfield Aquatic Centre Jobs,
Is Blake Bell Married,
Wickr Me Login,
Casas De Venta En Toledo Ohio 43605,
Losmandy G11 Disassembly,
World Record Golden Shiner,
Craigslist Tri Cities Tn Jobs,
Kenmore Electric Range Model 790,
Tight Rope Bl,
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/56\/Graph-a-Parabola-Step-2-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-2-Version-2.jpg","bigUrl":"\/images\/thumb\/5\/56\/Graph-a-Parabola-Step-2-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-2-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/d\/d8\/Graph-a-Parabola-Step-3-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-3-Version-2.jpg","bigUrl":"\/images\/thumb\/d\/d8\/Graph-a-Parabola-Step-3-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-3-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/c\/c9\/Graph-a-Parabola-Step-4-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-4-Version-2.jpg","bigUrl":"\/images\/thumb\/c\/c9\/Graph-a-Parabola-Step-4-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-4-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/f\/fd\/Graph-a-Parabola-Step-5-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-5-Version-2.jpg","bigUrl":"\/images\/thumb\/f\/fd\/Graph-a-Parabola-Step-5-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-5-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/56\/Graph-a-Parabola-Step-6-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-6-Version-2.jpg","bigUrl":"\/images\/thumb\/5\/56\/Graph-a-Parabola-Step-6-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-6-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/8\/8d\/Graph-a-Parabola-Step-7-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-7-Version-2.jpg","bigUrl":"\/images\/thumb\/8\/8d\/Graph-a-Parabola-Step-7-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-7-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/d\/d5\/Graph-a-Parabola-Step-8-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-8-Version-2.jpg","bigUrl":"\/images\/thumb\/d\/d5\/Graph-a-Parabola-Step-8-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-8-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/6\/6f\/Graph-a-Parabola-Step-9-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-9-Version-2.jpg","bigUrl":"\/images\/thumb\/6\/6f\/Graph-a-Parabola-Step-9-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-9-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/6\/6c\/Graph-a-Parabola-Step-10-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-10-Version-2.jpg","bigUrl":"\/images\/thumb\/6\/6c\/Graph-a-Parabola-Step-10-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-10-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/7\/7c\/Graph-a-Parabola-Step-11-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-11-Version-2.jpg","bigUrl":"\/images\/thumb\/7\/7c\/Graph-a-Parabola-Step-11-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-11-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/9\/92\/Graph-a-Parabola-Step-12-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-12-Version-2.jpg","bigUrl":"\/images\/thumb\/9\/92\/Graph-a-Parabola-Step-12-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-12-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/51\/Graph-a-Parabola-Step-13-Version-2.jpg\/v4-460px-Graph-a-Parabola-Step-13-Version-2.jpg","bigUrl":"\/images\/thumb\/5\/51\/Graph-a-Parabola-Step-13-Version-2.jpg\/aid4162801-v4-728px-Graph-a-Parabola-Step-13-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"
\n<\/p>
\n<\/p><\/div>"}. Kategorie: Anál
Další Porno Videa:
Vloženo: Březen 31, 2014 at 1:12 pm
Štítky: americké, americké pornoherečky, americké pornostar, Candace Cage, Candace Victoria, Candice Cage, Candice Mia, Nubiles, nubiles.net, sex, sex online, xhamster, xhamster.com
Vloženo: Únor 28, 2014 at 9:26 pm
Štítky: důchodce a mladá dívka, důchodce šuká mladou dívku, důchodci, sex s blondýnkou, starý muž a mladá dívky, starý muž šuká mladou dívku, xhamster, xhamster.com
Vloženo: Únor 23, 2014 at 9:46 pm
Štítky: anální porno, anální sex, casting, česká erotika, české dívky, české porno, český porno casting, český sex, dívčí anály, dívčí dírky, dívčí kundičky, Doubleviewcasting, doubleviewcasting.com, porno casting, porno česky, sexuální hrátky, xhamster, xhamster.com
Vloženo: Únor 3, 2014 at 11:08 pm
Štítky: americké, americké pornoherečky, americké pornostar, Lexi Diamond, Lexi Diamond ke shlédnutí, Lexi Diamond online, Lexi Diamond porno, Lexi Diamond videa, porno, pornoherečky, Pornohvězdy, pornostar, xhamster.com
Vloženo: Březen 27, 2014 at 10:13 am
Štítky: manželky, manželské porno, manželský pár, manželský sex, sex s manželkou, šukání manželky, xhamster, xhamster.com
Vloženo: Únor 23, 2014 at 10:34 pm
Štítky: anální porno, anální sex, dívčí anály, dívčí dírky, dívčí kundičky, Doubleviewcasting, doubleviewcasting.com, sex s brunetkou, xhamster, xhamster.com
Vloženo: Březen 31, 2014 at 10:09 am
Štítky: černovlásky, masturbace s černovláskou, masturbační videa, šidítka, šidítko v kundičce, xhamster, xhamster.com
Vloženo: Leden 6, 2015 at 11:50 pm
Štítky: bdsm, bdsm porno, bdsm sex, bondage, Hardcore, hardcore porno, Mučení, mučení porno, mučení sex, sado maso, tvrdé mučení, tvrdý sex
Doporučujeme
Porno videa
Seznamka
Štítky
amateur
amatérka
amatérské porno
amatérský sex
americké
americké pornoherečky
americké pornostar
anál
anální porno
anální sex
asian
ass
big
bigtits
blonde
blowjob
Brunetky
brunette
cumshot
Doubleviewcasting
doubleviewcasting.com
Firstanalquest
firstanalquest.com
Hardcore
homemade
lesbičky
masturbace
mature
MILF
mladé dívky
mladé holky
mladé maso
mom
orál
penis v análu
porno
sex
Softcore
teen
xhamster
xhamster.com
české
české porno
české pornostar
český sex
Návštěvy
Doporučujeme
Top Porno videa
Nejnovější Porno videa
Podpořte nás
