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Problems ask students to identify the eccentricity of each conic, including hyperbolas and ellipses, using provided geometric information such as vertices, foci, centers, and co-vertices. Additional tasks require converting given information into standard form equations for individual hyperbolas and ellipses. Suitable for practice and assessment of eccentricity concepts and conic standard forms.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/kuta-software-infinite-algebra-2-eccentricity-of-conic-sections-identify-the-eccentricity-of-each/522631/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/kuta-software-infinite-algebra-2-eccentricity-of-conic-sections-identify-the-eccentricity-of-each/522631.png","ImageObject",300,407,{"name":92,"@type":93},"Aurelia","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main topic of this worksheet?","Question",{"text":112,"@type":113},"The worksheet focuses on eccentricity of conic sections, especially hyperbolas and ellipses.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of information are given for each problem?",{"text":117,"@type":113},"Problems provide features like vertices, foci, centers, and co-vertices to support eccentricity calculations and standard form equations.",{"name":119,"@type":110,"acceptedAnswer":120},"What do problems 17–20 ask students to do?",{"text":121,"@type":113},"They use the given hyperbola information to write standard form equations and determine corresponding eccentricity values.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522631,1791732193,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},1099514068365,"https://ap-avatar.wpscdn.com/avatar/10000253d8d9f28188e?x-image-process=image/resize,m_fixed,w_180,h_180&k=1794309523707217728","Kuta Software-Infinite Algebra 2 Name   \nEccentricity of Conic Sections Date  Period   \nIdentify the eccentricity of each.  \n2 2 2 2  \n1) x16 − y9~~ ~~ = 1 2) x4~~ ~~ + ~~ ~~y25 = 1  \n3) x = 2y 2 x2 y 2  \n4) 15 + 45 = 1  \n5) y~~ ~~216 − x 2 = 1 6) x 2 + y 2 = 4  \n7) (x~~ ~~2)~~ ~~2~~ ~~ + ~~ ~~(~~ ~~y~~ ~~+162)~~ ~~2~~ ~~ = 1 8) (x~~ ~~1)~~ ~~2~~ ~~ − (~~ ~~y~~ ~~2)2~~ ~~ = 1  \n9) (x − 4)2 + ( y − 2)2 = 1 10) y = (x − 6)2 + 3  \n( y + 1) 2   x 2   x2   \n11) − = 1 12) + ( y + 3) 2 = 1 16 25 49  \n13) x 2 − 9 y 2 − 9 = 0 14) 25x 2 + 16 y 2 − 400 = 0  \n15) x 2 + y2 + 4x + 8y + 11 = 0 16) 4x 2 + 9 y 2 − 16x − 36 y + 16 = 0  \nUse the information provided to write the standard form equation of each hyperbola.  \n17) Vertices: ( 11, 8), (5, 8) 18) Foci: ( 19, −3), (−7, −3)  \nEccentricity = ~~ ~~1783~~ ~~ Eccentricity = ~~ ~~135  \n19) CentVerteer ax att ((9,143, )3) 20) Center at (− ~~ ~~32~~ ~~ , 8) Eccentricity = ~~ ~~615~~ ~~ Focus at (− ~~ ~~32~~ ~~ , 8 + 185 )  \nEccentricity = ~~ ~~1858  \nUse the information provided to write the standard form equation of each ellipse.  \n21) Eccentricity = ~~ ~~513~~ ~~ 22) Eccentricity = ~~ ~~513 Vertices: (3, 3), (−23, 3) Foci: (−5, 4), (−5, −6)  \n23) Eccentricity = ~~ ~~2~~ ~~914~~ ~~ 24) Eccentricity = ~~ ~~215 Co-vertices: (0, −10), (−10, −10) Center: (−8, 8)  \nVertex: (2, 8)  \n25) Eccentricity = ~~ ~~114~~  ~~Center: (2, −9)  \nFocus: (2, −9 − 5 )  \n26) Eccentricity = ~~ ~~357 Center: (7, −4)  \nCo-vertex: (7 + 10 , −4)  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nEccentricity of Conic Sections Date________________ Period____  \nIdentify the eccentricity of each.  \n2 2 2 2  \n1) x16 − y9~~ ~~ = 1 2) x4~~ ~~ + ~~ ~~y25 = 1  \nEccentricity: 54 = 1.25 Eccentricity: ~~ ~~215~~ ~~ ≈ 0.917  \n3) x = 2y 2 x2 y 2  \n4) ~~ ~~ + ~~ ~~ = 1  \nEccentricity: 1 15 45  \nEccentricity: ~~ ~~3~~ ~~ ≈ 0.816  \n5) y~~ ~~216 − x 2 = 1 6) x 2 + y 2 = 4  \nEccentricity: 0  \nEccentricity: ~~ ~~174~~ ~~ ≈ 1.031  \n7) (x~~ ~~2)~~ ~~2~~ ~~ + ~~ ~~(~~ ~~y~~ ~~+162)~~ ~~2~~ ~~ = 1 8) (x~~ ~~1)~~ ~~2~~ ~~ − (~~ ~~y~~ ~~2)2~~ ~~ = 1  \nEccentricity: ~~ ~~2~~ ~~ ≈ 0.866 Eccentricity: ~~ ~~132~~ ~~ ≈ 1.803  \n9) (x − 4)2 + ( y − 2)2 = 1 10) y = (x − 6)2 + 3  \nEccentricity: 0 Eccentricity: 1  \n11) (~~ ~~y~~ ~~+161)~~ ~~2 − x225 = 1 12) x~~ ~~249 + ( y + 3) 2 = 1  \nEccentricity: ~~ ~~414~~ ~~ ≈ 1.601 Eccentricity: 4~~ ~~7~~ ~~ ≈ 0.99  \n13) x 2 − 9 y 2 − 9 = 0 14) 25x 2 + 16 y 2 − 400 = 0  \nEccentricity: ~~ ~~103~~ ~~ ≈ 1.054 Eccentricity: ~~ ~~35 = 0.6  \n15) x 2 + y2 + 4x + 8y + 11 = 0 16) 4x 2 + 9 y 2 − 16x − 36 y + 16 = 0  \nEccentricity: 0  5  \nEccentricity: ≈ 0.745  \n3  \nUse the information provided to write the standard form equation of each hyperbola.  \n17) Vertices: ( 11, 8), (5, 8) 18) Foci: ( 19, −3), (−7, −3)  \nEccentricity = ~~ ~~1783~~ ~~ Eccentricity = ~~ ~~135  \n(x~~ ~~−98)~~ ~~2~~ ~~ − (~~ ~~y~~ ~~−~~ ~~8169)2~~ ~~ = 1 ~~ ~~(x~~ ~~−256)~~ ~~2~~ ~~ − (~~ ~~y~~ ~~+~~ ~~3144)2~~ ~~ = 1  \n19) CentVerteer ax att ((9,143, )3) 20) Center at (− ~~ ~~32~~ ~~ , 8) Eccentricity = ~~ ~~615~~ ~~ Focus at (− ~~ ~~32~~ ~~ , 8 + 185 )  \n(x − 9) 2 ( y − 3)2 Eccentricity =  185  \n 25  −  36  = 1 8 ( y − 8) 2 (x + 32) 2  \n~~ ~~ − ~~ ~~ = 1 64 121  \nUse the information provided to write the standard form equation of each ellipse.  \n21) Eccentricity = ~~ ~~513 Vertices: (3, 3), (−23, 3)  \n(x + 10) 2   ( y − 3) 2  \n+ = 1 169 144  \n23) Eccentricity = ~~ ~~2~~ ~~914  \nCo-vertices: (0, −10), (−10, −10)  \n(x + 5) 2   ( y + 10) 2  \n+ = 1 25 81  \n25) Eccentricity = ~~ ~~114~~  ~~Center: (2, −9) Focus: (2, −9 − 5 )  \n(x − 2) 2   ( y + 9) 2  \n+ = 1  \n65 70  \n22) Eccentricity = ~~ ~~513 Foci: (−5, 4), (−5, −6)  \n(x + 5) 2   ( y + 1) 2  \n+ = 1 144 169  \n24) Eccentricity = ~~ ~~215 Center: (−8, 8) Vertex: (2, 8)  \n(x + 8) 2   ( y − 8) 2  \n+ = 1 100 16  \n26) Eccentricity = ~~ ~~357 Center: (7, −4)  \nCo-vertex: (7 + 10 , −4)  \n(x − 7) 2   ( y + 4) 2  \n+ = 1  \n10 35  \nCreate your own worksheets like this one with Infinite Algebra ","cbCaiq5m0yviUBhm","https://ap.wps.com/l/cbCaiq5m0yviUBhm","pdf",38817,"English","# Identify the eccentricity of each\n## Hyperbola eccentricity problems\n## Ellipse eccentricity problems\n# Write standard form equations\n## Hyperbolas\n## Ellipses","[{\"question\":\"What is the main topic of this worksheet?\",\"answer\":\"The worksheet focuses on eccentricity of conic sections, especially hyperbolas and ellipses.\"},{\"question\":\"What types of information are given for each problem?\",\"answer\":\"Problems provide features like vertices, foci, centers, and co-vertices to support eccentricity calculations and standard form equations.\"},{\"question\":\"What do problems 17–20 ask students to do?\",\"answer\":\"They use the given hyperbola information to write standard form equations and determine corresponding eccentricity values.\"}]","Kuta Software - Infinite Algebra 2 - Eccentricity of Conic Sections - Identify the eccentricity of each | PDF",1791425998]