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Exercises 1–8 require identifying each conic type, while problems 9–16 ask for both the standard-form equation and the conic classification. Problems 17–21 extend the task by requiring sketching the graph and extracting key geometric features such as vertex and focus for parabolas, center and radius for circles, and center, vertices, and foci for ellipses and hyperbolas.",{"@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-classifying-conic-sections-worksheet-standard-form-and-graph/522605/",{"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-classifying-conic-sections-worksheet-standard-form-and-graph/522605.png","ImageObject",300,407,{"name":92,"@type":93},"Rowan","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 information is required for problems 1–8?","Question",{"text":112,"@type":113},"Each problem requires classifying the conic section from its equation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What extra task is included in problems 9–16?",{"text":117,"@type":113},"In addition to classifying the conic, students must rewrite the equation in standard form.",{"name":119,"@type":110,"acceptedAnswer":120},"What features must be identified when sketching graphs (problems 17–21)?",{"text":121,"@type":113},"For parabolas, identify the vertex and focus; for circles, identify the center and radius; for ellipses and hyperbolas, identify the center, vertices, and foci.","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},522605,1791710585,{"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":29,"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":144,"preview_page_count":4},1099514067415,"https://ap-avatar.wpscdn.com/avatar/100002539d78ffe74a7?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779092875211072502","Kuta Software-Infinite Algebra 2 Name___________________________________  \nClassifying Conic Sections Date________________ Period____  \nClassify each conic section.  \n1) x 2 + y 2 = 30 2) x 2 + y 2 = 36  \nx 2   y 2  4) x = y 2  \n3) + = 1  \n9 16  \n5) x = ( y + 4)2 − 2 y 2 x 2  \n6) 25 − 25 = 1  \n7) y = (x − 1)2 + 3 2 y 2  \n8) (x − 1) +  25 = 1  \nClassify each conic section and write its equation in standard form.  \n9) − x 2 + 10x + y − 21 = 0 10) −2 y 2 + x − 20 y − 49 = 0  \n11) x 2 + 2x + y − 1 = 0 12) x 2 + y2 + 6x − 2 y + 9 = 0  \n13) x 2 − y 2 − 2x − 8 = 0 14) 3x 2 + 30x + y + 79 = 0  \n15) −9x 2 + y 2 − 72x − 153 = 0 16) − y 2 + x + 8y − 17 = 0  \nClassify each conic section, write its equation in standard form, and sketch its graph. For parabolas, identify the vertex and focus. For circles, identify the center and radius. For ellipses and hyperbolas identify the center, vertices, and foci.  \n17) −2 y 2 + x − 4 y + 1 = 0  \n\n| | |  |  |  |  |  |  | y |  |  |  |  |  |  | |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| −8 | − | 6 | − | 4 | − | 2 |  |  | 2 |  | 4 |  | 6 |  |  | 8 x |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | −8\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n18) −25x 2 + y 2 − 100x − 125 = 0  \n\n| | |  |  |  |  |  |  | y |  |  |  |  |  |  | |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| −8 | − | 6 | − | 4 | − | 2 |  |  | 2 |  | 4 |  | 6 |  |  | 8 x |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | −8\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n19) 4x 2 + 4 y 2 − 20x − 32 y + 81 = 0  \n\n| | |  |  |  |  |  |  | y |  |  |  |  |  |  | |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| −8 | − | 6 | − | 4 | − | 2 |  |  | 2 |  | 4 |  | 6 |  |  | 8 x |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  | −2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n","cbCaithlD1lWGLcZ","https://ap.wps.com/l/cbCaithlD1lWGLcZ","pdf",49434,"English","# Classify each conic section\n## Identify the conic type (Problems 1-8)\n## Write equations in standard form (Problems 9-16)\n## Sketch graphs and identify key features (Problems 17-21)","[{\"question\":\"What information is required for problems 1–8?\",\"answer\":\"Each problem requires classifying the conic section from its equation.\"},{\"question\":\"What extra task is included in problems 9–16?\",\"answer\":\"In addition to classifying the conic, students must rewrite the equation in standard form.\"},{\"question\":\"What features must be identified when sketching graphs (problems 17–21)?\",\"answer\":\"For parabolas, identify the vertex and focus; for circles, identify the center and radius; for ellipses and hyperbolas, identify the center, vertices, and foci.\"}]","Kuta Software-Infinite Algebra 2 - Classifying Conic Sections Worksheet - Standard Form and Graph | PDF",1791425964,15]