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The set includes multiple numbered problems covering different orientations and parameter 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\nWriting Equations of Hyperbolas Date  Period   \nUse the information provided to write the standard form equation of each hyperbola.  \n1) 􀀐x􀀕 􀀎 y 􀀕 􀀐 􀀔􀀛 x 􀀐 􀀔􀀗y 􀀐 􀀔􀀖􀀕 􀀠 􀀓 2) 􀀜x 􀀕 􀀐 􀀗y 􀀕 􀀐 􀀜􀀓x 􀀎 􀀖􀀕 y 􀀐 􀀔􀀙􀀖 􀀠 􀀓  \n3) 􀀐􀀔􀀙x 􀀕 􀀎 􀀜 y 􀀕 􀀎 􀀖􀀕x 􀀎 􀀔􀀗􀀗y 􀀐 􀀔􀀙 􀀠 􀀓 4) 􀀐􀀕x 􀀕 􀀎 􀀖 y 􀀕 􀀎 􀀗x 􀀐 􀀙􀀓y 􀀎 􀀕􀀙􀀛 􀀠 􀀓  \n5) 6)  \n7) Vertices: (􀀛 , 􀀔􀀗), (􀀛 , 􀀐􀀔􀀓) 8) Vertices: (􀀗 , 􀀜 􀀎 􀀖􀀓 ), (􀀗 , 􀀜 􀀐 􀀖􀀓 ) Conjugate Axis is 􀀙 units long Conjugate Axis is 􀀕 􀀔􀀜􀀘 units long  \n9) VerticesEndpoin:ts( 􀀔􀀘of, 􀀔C,n(j􀀔g,ae) Axis: (􀀚􀀚 ,, ) 10) VerticesEndpoin:ts(􀀕f,􀀘􀀕Co)n,je, 􀀘􀀕A (􀀐􀀜 , ~~ ~~􀀔􀀘􀀕~~ ~~)(􀀐􀀜 , 􀀐 ~~ ~~􀀘􀀕~~ ~~)  \n11) Vertices: (􀀖 , 􀀓), (􀀖 , 􀀐􀀔􀀛)  \nFoci: (􀀖 , 􀀐􀀜 􀀎 􀀔􀀗􀀘 ), (􀀖 , 􀀐􀀜 􀀐 􀀔􀀗􀀘 )  \n13) Vertices: (􀀚 , 􀀗), (􀀚 , 􀀐􀀕􀀗)  \nDistance from Center to Focus = 􀀚 􀀘  \n15) Foci: (􀀕 , 􀀐􀀙 􀀎 􀀔􀀘􀀚 ), (􀀕 , 􀀐􀀙 􀀐 􀀔􀀘􀀚 )  \n 􀀙   􀀚􀀛  Asymptotes: y 􀀠 􀀔􀀔 x 􀀐 􀀔􀀔  \n􀀙 􀀘􀀗 y 􀀠 􀀐  􀀔􀀔 x 􀀐  􀀔􀀔   \n17) Vertices: (􀀓 , 􀀐􀀔), (􀀐􀀕􀀓 , 􀀐􀀔) Asymptotes: y 􀀠 x 􀀎 􀀜  \ny 􀀠 􀀐x 􀀐 􀀔􀀔  \n19) Foci: (􀀐􀀜 , 􀀐􀀘 􀀎 􀀜 􀀕 ), (􀀐􀀜 , 􀀐􀀘 􀀐 􀀜 􀀕 ) Conjugate Axis is 􀀔􀀛 units long  \n21) Foci: (􀀐􀀔􀀓 , 􀀔􀀓 􀀎 􀀗 􀀔􀀓 ), (􀀐􀀔􀀓 , 􀀔􀀓 􀀐 􀀗 􀀔􀀓 ) Points on the hyperbola are 􀀕􀀗 units closer to one focus than the other  \n23) Center at (􀀐􀀔􀀓 , 􀀐􀀚 )  \nTransverse axis is vertical; central rectangle is 􀀔􀀓 units wide and 􀀔􀀓 units tall  \n12) Vertices: (􀀐􀀘 , 􀀔), (􀀐􀀘 , 􀀐􀀚)  \nFoci: (􀀐􀀘 , 􀀐􀀖 􀀎 􀀜􀀚 ), (􀀐􀀘 , 􀀐􀀖 􀀐 􀀜􀀚 )  \n14) Vertices: (􀀐􀀘 , 􀀕􀀕), (􀀐􀀘 , 􀀐􀀗) Distance from Center to Focus = 􀀕􀀔􀀛  \n16) Foci: (􀀙 􀀘 , 􀀔􀀓), (􀀐􀀙 􀀘 , 􀀔􀀓) Asymptotes: y 􀀠 􀀔􀀕~~ ~~x 􀀎 􀀔􀀓  \ny 􀀠 􀀐 ~~ ~~􀀔􀀕~~ ~~x 􀀎 􀀔􀀓  \n18) Vertices: (􀀔􀀖 , 􀀓), (􀀐􀀔 , 􀀓) Asymptotes: y 􀀠 x 􀀐 􀀙  \ny 􀀠 􀀐x 􀀎 􀀙  \n20) Foci: (􀀛 , 􀀐􀀘 􀀎 􀀘􀀖 ), (􀀛 , 􀀐􀀘 􀀐 􀀘􀀖 )  \nEndpoints of Conjugate Axis: (􀀔􀀘 , 􀀐􀀘 )  \n(􀀔 , 􀀐􀀘 )  \n22) Center at (􀀐􀀔 , 􀀐􀀔)  \nTransverse axis is vertical and 􀀕􀀗 units long Conjugate axis is 􀀛 units long  \n24) Vertices: (􀀗 , 􀀜 􀀎 􀀖 􀀔􀀓 ), (􀀗 , 􀀜 􀀐 􀀖 􀀔􀀓 ) Perimeter of Central Rectangle = 􀀔􀀙 􀀔􀀓  \nKuta Software-Infinite Algebra 2 Name   \nWriting Equations of Hyperbolas Date  Period   \nUse the information provided to write the standard form equation of each hyperbola.  \n1)  \n3)  \n5)  \n7)  \n9)  \n􀀐x􀀕 􀀎 y 􀀕 􀀐 􀀔􀀛 x 􀀐 􀀔􀀗y 􀀐 􀀔􀀖􀀕 􀀠 􀀓  \n~~ ~~(y~~ ~~􀀔􀀚􀀓)~~ ~~􀀕 􀀐 (x~~ ~~􀀜􀀓)~~ ~~􀀕 􀀠 􀀔  \n􀀐􀀔􀀙x 􀀕 􀀎 􀀜 y 􀀕 􀀎 􀀖􀀕x 􀀎 􀀔􀀗􀀗y 􀀐 􀀔􀀙 􀀠 􀀓 ~~ ~~(y~~ ~~􀀗􀀛)􀀕 􀀐 (x~~ ~~􀀙􀀔)􀀕 􀀠 􀀔  \n~~ ~~􀀕􀀘 􀀐 (y~~ ~~􀀔)􀀕 􀀠 􀀔  \nVertices: (􀀛 , 􀀔􀀗), (􀀛 , 􀀐􀀔􀀓) Conjugate Axis is 􀀙 units long  \n~~ ~~(y~~ ~~􀀔􀀕􀀗)~~ ~~􀀕 􀀐 (x~~ ~~~~ ~~􀀛)􀀕 􀀠 􀀔  \nVertices: (􀀔􀀘 , 􀀔), (􀀐􀀔 , 􀀔)  \nEndpoints of Conjugate Axis: (􀀚 , 􀀚 )  \n(􀀚 , 􀀐􀀘 )  \n~~ ~~(x~~ ~~􀀗􀀚~~ ~~)~~ ~~􀀕 􀀐 (y~~ ~~􀀙􀀔)􀀕 􀀠 􀀔  \n2) 􀀜x 􀀕 􀀐 􀀗y 􀀕 􀀐 􀀜􀀓x 􀀎 􀀖􀀕 y 􀀐 􀀔􀀙􀀖 􀀠 􀀓  \n~~ ~~(x~~ ~~􀀙􀀘~~ ~~)~~ ~~􀀕 􀀐 (y~~ ~~􀀔􀀗)􀀕 􀀠 􀀔  \n4) 􀀐􀀕x 􀀕 􀀎 􀀖 y 􀀕 􀀎 􀀗x 􀀐 􀀙􀀓y 􀀎 􀀕􀀙􀀛 􀀠 􀀓  \n~~ ~~(y~~ ~~~~ ~~􀀔􀀓~~ ~~􀀓)􀀕 􀀐 (x~~ ~~􀀔)􀀕 􀀠 􀀔  \n6)  \n~~ ~~(y~~ ~~~~ ~~􀀕)􀀕 􀀐 􀀕􀀘~~ ~~ 􀀠 􀀔  \n8) Vertices: (􀀗 , 􀀜 􀀎 􀀖􀀓 ), (􀀗 , 􀀜 􀀐 􀀖􀀓 ) Conjugate Axis is 􀀕 􀀔􀀜􀀘 units long  \n~~ ~~(y~~ ~~􀀓􀀜)􀀕 􀀐 (x~~ ~~~~ ~~􀀗􀀘)~~ ~~􀀕 􀀠 􀀔  \n10) Vertices: (􀀐􀀕 , 􀀘􀀕~~ ~~),(􀀐􀀔􀀙 , 􀀘􀀕~~ ~~)  \n􀀐􀀜 ~~ ~~  \nEndpoints of Conjugate Axis: (􀀐􀀜 ,, ))  \n(  \n (x 􀀜􀀜)􀀕 􀀐 (y 􀀘􀀕~~ ~~) 􀀕 􀀠 􀀔  \n11) Vertices: (􀀖 , 􀀓), (􀀖 , 􀀐􀀔􀀛)  \nFoci: (􀀖 , 􀀐􀀜 􀀎 􀀔􀀗􀀘 ), (􀀖 , 􀀐􀀜 􀀐 􀀔􀀗􀀘 )  \n~~ ~~(y~~ ~~􀀔􀀜)􀀕 􀀐 (x~~ ~~􀀗􀀖~~ ~~)~~ ~~􀀕 􀀠 􀀔  \n13) Vertices: (􀀚 , 􀀗), (􀀚 , 􀀐􀀕􀀗)  \nDistance from Center to Focus = 􀀚 􀀘  \n~~ ~~(y~~ ~~􀀔􀀙􀀓)􀀕 􀀐 (x~~ ~~􀀜􀀚~~ ~~)~~ ~~􀀕 􀀠 􀀔  \n15) Foci: (􀀕 , 􀀐􀀙 􀀎 􀀔􀀘􀀚 ), (􀀕 , 􀀐􀀙 􀀐 􀀔􀀘􀀚 )  \n 􀀙   􀀚􀀛  Asymptotes: y 􀀠 􀀔􀀔 x 􀀐 􀀔􀀔  \n􀀙 􀀘􀀗 y 􀀠 􀀐  􀀔􀀔 x 􀀐  􀀔􀀔   \n~~ ~~(y~~ ~~􀀙􀀙)􀀕 􀀐 (x~~ ~~~~ ~~􀀕􀀔)~~ ~~􀀕 􀀠 􀀔  \n17) Vertices: (􀀓 , 􀀐􀀔), (􀀐􀀕􀀓 , 􀀐􀀔) Asymptotes: y 􀀠 x 􀀎 􀀜  \ny 􀀠 􀀐x 􀀐 􀀔􀀔  \n~~ ~~(x~~ ~~􀀔􀀓􀀓)􀀕 􀀐 (y~~ ~~􀀔􀀔􀀓~~ ~~)~~ ~~􀀕 􀀠 􀀔  \n19) Foci: (􀀐􀀜 , 􀀐􀀘 􀀎 􀀜 􀀕 ), (􀀐􀀜 , 􀀐􀀘 􀀐 􀀜 􀀕 ) Conjugate Axis is 􀀔􀀛 units long  \n~~ ~~(y~~ ~~􀀔􀀘~~ ~~)~~ ~~􀀕 􀀐 (x~~ ~~􀀜)􀀕 􀀠 􀀔  \n21) Foci: (􀀐􀀔􀀓 , 􀀔􀀓 􀀎 􀀗 􀀔􀀓 ), (􀀐􀀔􀀓 , 􀀔􀀓 􀀐 􀀗 􀀔􀀓 ) Points on the hyperbola are 􀀕􀀗 units closer to one focus than the other  \n~~ ~~(y~~ ~~􀀔􀀗􀀓)􀀕 􀀐 (x~~ ~~~~ ~~􀀔􀀙~~ ~~􀀓)􀀕 􀀠 􀀔  \n23) Center at (􀀐􀀔􀀓 , 􀀐􀀚 )  \nTransverse axis is vertical; central rectangle is 􀀔􀀓 units wide and 􀀔􀀓 units tall  \n~~ ~~(y~~ ~~􀀘􀀚~~ ~~)~~ ~~􀀕 􀀐 (x~~ ~~􀀔􀀘~~ ~~􀀓)􀀕 􀀠 􀀔  \n12) Vertices: (􀀐􀀘 , 􀀔), (􀀐􀀘 , 􀀐􀀚)  \nFoci: (􀀐􀀘 ","cbCaijSqgwLfw5uU","https://ap.wps.com/l/cbCaijSqgwLfw5uU","pdf",49697,"English","# Writing Equations of Hyperbolas\n## Provided hyperbola features (vertices, foci, center, axes)\n## Use features to write standard form equations\n## Central rectangle and conjugate axis information","[{\"question\":\"What information is given for each hyperbola problem?\",\"answer\":\"Each problem provides features such as vertices, foci (or distance information), the center, axis direction/lengths, conjugate-axis endpoints, and sometimes asymptotes or central rectangle dimensions.\"},{\"question\":\"What is the required task for the worksheet?\",\"answer\":\"Use the provided measurements and locations to write the standard form equation of each hyperbola.\"},{\"question\":\"How do asymptotes and axis lengths help determine the equation?\",\"answer\":\"Asymptote equations and the conjugate/transverse axis lengths identify the hyperbola’s parameters, which are needed to form the standard equation consistent with the given geometry.\"}]","Writing Equations of Hyperbolas - Use the information provided to write the standard form equation of each hyperbola | PDF",1791426001]