[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522633-105":59,"doc-detail-522633-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","writing-equations-of-ellipses-worksheets","Writing Equations of Ellipses - Worksheets","","Worksheets for Algebra 2 centered on writing equations of ellipses in standard form. Each problem provides geometric ellipse features such as vertices, co-vertices, foci, foci forms with distances, centers, and major/minor axis endpoints or lengths. The tasks require converting the given information into the corresponding standard-form equation for each ellipse, including equations for horizontally or vertically oriented ellipses, using parameters a, b, c, width, and eccentricity where given.",{"@graph":69,"@context":123},[70,84,106],{"@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/writing-equations-of-ellipses-worksheets/522633/",{"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/writing-equations-of-ellipses-worksheets/522633.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":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What information is given in each ellipse problem?","Question",{"text":113,"@type":114},"Each item provides ellipse features such as vertices, co-vertices, foci, centers, and sometimes endpoints of the major or minor axis or axis lengths/width.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the main task for the worksheet problems?",{"text":118,"@type":114},"Write the standard form equation of each ellipse using the provided geometric information.",{"name":120,"@type":111,"acceptedAnswer":121},"How are different ellipse orientations handled in the worksheet?",{"text":122,"@type":114},"Problems include ellipses with horizontal or vertical major axes, indicated by the given vertices/co-vertices or major-axis endpoints, so the corresponding standard-form structure is used.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522633,1791542749,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"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   \nWriting Equations of Ellipses Date  Period   \nUse the information provided to write the standard form equation of each ellipse.  \n1) Vertices: ( 10, 0), (−10, 0) 2) Vertices: (0, 6), (0, −6) Co-vertices: (0, 9), (0, −9) Co-vertices: (5, 0), (−5, 0)  \n3) Vertices: ( 12, 0), (−12, 0) 4) Vertices: ( 14, 0), (−14, 0) Foci: (2  11  , 0), (−2  11 , 0) Foci: (3  19  , 0), (−3  19 , 0)  \n5) Foci: (−7, 5 +  13 ), (−7, 5 −  13 ) 6) Foci: (7, 9), (−1, 9)  \nCo-vertices: (−1, 5), (−13, 5) Co-vertices: (3, 12), (3, 6)  \n7) Foci: (  17  , 0), (− 17 , 0) 8) Foci: (  115  , 0), (− 115 , 0)  \nEndpoints of major axis: (9, 0), (−9, 0) Endpoints of major axis: (  195  , 0), (− 195 , 0)  \n9) Foci: (7 + 235  , −4), (7 − 235 , −4) 10) Foci: (−5, 7 +  115 ), (−5, 7 −  115 ) Endpoints of minor axis: (7, −2), (7, −6) Endpoints of minor axis: (4, 7), (−14, 7)  \n11) Center: (6, −5) 12) Center: (−3, −4) Vertex: (6, 7) Vertex: (6, −4) Focus: (6, −5 − 63 ) Focus: (−3 − 65  , −4)  \n13) Center: (4, 8) 14) Center: (7, −10) Vertex: (4, 8 −  170 ) Vertex: (−6, −10) Co-vertex: (4 −  15  , 8) Co-vertex: (7, −17)  \n15) Center: (−3, 3) Vertex: (−10, 3) c 2 = 33  \n17) Center: (−9, 5) Focus: (−9 + 2 14  , 5) Co-vertex: (−9, 10)  \n19) Center: (4, 0) Focus: (4, 3 7 ) Width: 18  \n21) Center: (9, −7)  \na = 9  \nb = 4  \nWidth: 8  \n23) Endpoints of major axis: (4, 18), (4, −4)  \nEndpoints of minor axis: ( 12, 7), (−4, 7)  \n25)  \n\n| | |  |  |  |  |  |  | y |  |  |  |  | |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| −8 | − | 6 | − | 4 | − | 2 |  |  |  | 2 |  | 4 |  | 6 x |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −2 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −4 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −6 |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | −8 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n16) Center: ( 1, −7) Vertex: ( 1, 1) c 2 = 55  \n18) Center: (6, −4) Focus: (6 + 26  , −4) Co-vertex: (6, 1)  \n20) Center: (4, −8)  \nHeight: 18  \nWidth: 14  \n22) Center at origin Focus: (3  15  , 0) y-intercept: (0, 3)  \n24) Major axis is vertical Center: (8, −2)  \nMajor axis is 18 units long Minor axis is 8 units long  \n26) Eccentricity = 1901 Co-vertices: ( 12, 1), (6, 1)  \nKuta Software-Infinite Algebra 2 Name   \nWriting Equations of Ellipses Date  Period   \nUse the information provided to write the standard form equation of each ellipse.  \n1) Vertices: ( 10, 0), (−10, 0)  \nCo-vertices: (0, 9), (0, −9)  \n~~ ~~x~~ ~~2100 + ~~ ~~y281 = 1  \n3) Vertices: ( 12, 0), (−12, 0)  \nFoci: (2  11  , 0), (−2  11 , 0)  \nx~~ ~~2144 + ~~ ~~1y200 = 1  \n5) Foci: (−7, 5 +  13 ), (−7, 5 −  13 ) Co-vertices: (−1, 5), (−13, 5)  \n(x + 7) 2   ( y − 5) 2  \n+ = 1 36 49  \n7) Foci: (  17  , 0), (− 17 , 0) Endpoints of major axis: (9, 0), (−9, 0)  \nx~~ ~~281 + ~~ ~~y264 = 1  \n9) Foci: (7 + 235  , −4), (7 − 235 , −4) Endpoints of minor axis: (7, −2), (7, −6)  \n(x − 7) 2   ( y + 4) 2  \n+ = 1 144 4  \n11) Center: (6, −5) Vertex: (6, 7) Focus: (6, −5 − 63 )  \n(x − 6) 2   ( y + 5) 2  \n+ = 1 36 144  \n13) Center: (4, 8) Vertex: (4, 8 −  170 )  \nCo-vertex: (4 −  15  , 8)  \n(x − 4) 2   ( y − 8) 2  \n+ = 1  \n15 170  \n2) Vertices: (0, 6), (0, −6) Co-vertices: (5, 0), (−5, 0)  \nx~~ ~~225 + ~~ ~~y236 = 1  \n4) Vertices: ( 14, 0), (−14, 0)  \nFoci: (3  19  , 0), (−3  19 , 0)  \nx~~ ~~2196 + ~~ ~~y225 = 1  \n6) Foci: (7, 9), (−1, 9)  \nCo-vertices: (3, 12), (3, 6)  \n(x − 3) 2   ( y − 9) 2  \n+ = 1 25 9  \n8) Foci: (  115  , 0), (− 115 , 0)  \nEndpoints of major axis: (  195  , 0), (− 195 , 0)  \nx~~ ~~2195 + ~~ ~","cbCaiqyazgQmcopZ","https://ap.wps.com/l/cbCaiqyazgQmcopZ","pdf",43289,"English","# Use the information to write equations\n## Given ellipse features (vertices, co-vertices, foci, centers)\n## Use major/minor axis endpoints or lengths","[{\"question\":\"What information is given in each ellipse problem?\",\"answer\":\"Each item provides ellipse features such as vertices, co-vertices, foci, centers, and sometimes endpoints of the major or minor axis or axis lengths/width.\"},{\"question\":\"What is the main task for the worksheet problems?\",\"answer\":\"Write the standard form equation of each ellipse using the provided geometric information.\"},{\"question\":\"How are different ellipse orientations handled in the worksheet?\",\"answer\":\"Problems include ellipses with horizontal or vertical major axes, indicated by the given vertices/co-vertices or major-axis endpoints, so the corresponding standard-form structure is used.\"}]","Writing Equations of Ellipses - Worksheets | PDF",1791426001]