[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-460865-105":59,"doc-detail-460865-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","ap-calculus-bc-unit-8-required-practice-part-1","AP Calculus BC - Unit 8 Required Practice - Part 1","","This document provides a comprehensive set of practice problems for AP Calculus BC, specifically focusing on Unit 8 topics. The content is divided into two primary sections: 8.1 covers the identification and conversion of conic sections, including circles, parabolas, and hyperbolas; and 8.2 focuses on parametric equations, requiring students to sketch curves, convert them to rectangular form, and verify results with a calculator. It serves as an essential resource for students to master analytic geometry and parametric analysis.",{"@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/ap-calculus-bc-unit-8-required-practice-part-1/460865/",{"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/ap-calculus-bc-unit-8-required-practice-part-1/460865.png","ImageObject",300,407,{"name":92,"@type":93},"Rhys","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What topics are covered in the 8.1 section of the practice?","Question",{"text":112,"@type":113},"Section 8.1 focuses on identifying conic sections from equations, finding centers and radii of circles, and converting various conic section equations to standard form.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What tasks are required for the parametric equations in section 8.2?",{"text":117,"@type":113},"Students are asked to sketch the curve of the parametric equations by converting them to rectangular form or using a table, and then verify their sketches using a graphing calculator.",{"name":119,"@type":110,"acceptedAnswer":120},"How should the conic section equations be processed?",{"text":121,"@type":113},"The equations should be converted into standard form, which allows for the identification of their geometric properties like the center and radius or specific axis orientations for sketching.","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},460865,1791557002,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":145},687207024643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","AP Calculus BC – Unit 8 Required Practice Name:    \n8.1 – Required Practice  \nIdentify the type of each conic section.  \n\\#7 . x2 􀀁 y2 􀀂6x 􀀂8y 􀀁24 􀀃 0 \\#8 . 2y2 􀀁x􀀂12y 􀀁20 􀀃 0  \n\\#9 . x2 􀀁 y2 􀀁8y 􀀁10 􀀃 0 \\#10 . 4x2 􀀂9y2 􀀁54y 􀀂177 􀀃 0  \n\\#11 . 49x2 􀀁 y2 􀀂294x 􀀁392 􀀃 0 \\#12 . 9x2 􀀁49y2 􀀁98y 􀀂392 􀀃 0  \nIdentify the center and radius of each circle.  \n\\#13. 􀀄 x 􀀁 8􀀅 2 􀀁 􀀄 y 􀀂11􀀅 2 􀀃 25 \\#14. 􀀄 x 􀀁 8􀀅 2 􀀁 􀀄 y 􀀁 2􀀅 2 􀀃 67  \nSketch the conic section already in standard form.  \n\\#15 . 􀀄 x 􀀁1􀀅 2 􀀁 􀀄 y 􀀁 5􀀅 2  􀀃 1 \\#16 . 􀀄 x 􀀂 6􀀅 2 􀀂 􀀄 y 􀀂 3􀀅 2  􀀃 1  \n4 81 100 25  \n\\#17 . 􀀄~~ ~~y~~ ~~􀀁92~~ ~~􀀅~~ ~~2~~ ~~ 􀀂 ~~ ~~􀀄~~ ~~x~~ ~~45􀀅~~ ~~2~~ ~~ 􀀃 1 \\#18. 􀀄 x 􀀂 3􀀅 2 􀀃 4 􀀄 y 􀀁 2􀀅  \nConvert the equation to standard form and sketch.  \n\\#19 . x2 􀀁 y2 􀀂8x 􀀁6y 􀀁24 􀀃 0 \\#20 . x2 􀀂16y2 􀀂2x 􀀁128y 􀀂271 􀀃 0  \n\\#21 . x2 􀀁16y2 􀀂2x 􀀂192y 􀀁561 􀀃 0 \\#22 . 􀀂x2 􀀁6x􀀁 y􀀂10 􀀃 0  \n8.2 – Required Practice  \nSketch the curve of the parametric equation by either converting the equation to rectangular form, or using a table, then use your calculator to verify your sketch.  \n\\#9 . x 􀀃 2t 􀀂 3, y 􀀃 3t 􀀁 1  \n\\#10 . x 􀀃 t 􀀁1, y 􀀃 t2  \n\\#11 . x 􀀃 t 􀀂3, y 􀀃 ~~ ~~t~~ ~~3  \nSketch the curve of the parametric equation by either converting the equation to rectangular form, or using a table, then use your calculator to verify your sketch.  \n\\#12. x 􀀃 6sin 􀀄􀀁 􀀅 , y 􀀃 4cos 􀀄 2􀀁 􀀅  \n\\#13. x 􀀃 4 􀀁 2cos 􀀄􀀁 􀀅 , y 􀀃 􀀂 1􀀁 sin 􀀄􀀁 􀀅","cbCaiaLs4MMd1lcp","https://ap.wps.com/l/cbCaiaLs4MMd1lcp","pdf",234268,26,"English","# 8.1 - Required Practice\n## Conic Sections Identification and Conversion\n# 8.2 - Required Practice\n## Parametric Equations Analysis and Sketching","[{\"question\":\"What topics are covered in the 8.1 section of the practice?\",\"answer\":\"Section 8.1 focuses on identifying conic sections from equations, finding centers and radii of circles, and converting various conic section equations to standard form.\"},{\"question\":\"What tasks are required for the parametric equations in section 8.2?\",\"answer\":\"Students are asked to sketch the curve of the parametric equations by converting them to rectangular form or using a table, and then verify their sketches using a graphing calculator.\"},{\"question\":\"How should the conic section equations be processed?\",\"answer\":\"The equations should be converted into standard form, which allows for the identification of their geometric properties like the center and radius or specific axis orientations for sketching.\"}]","AP Calculus BC - Unit 8 Required Practice - Part 1 | PDF",1790759897,66]