[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-574151-105":53,"doc-detail-574151-en":120},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":113,"head_meta":115,"extra_data":117,"updated_unix":119},105,"en","conic-sections-reference-sheet-formula-sheet","Conic Sections Reference Sheet - Formula Sheet","","Comprehensive conic sections reference and formula sheet for students mastering circles, parabolas, ellipses, and hyperbolas. Includes standard forms, key components such as center, radius, diameter, axis of symmetry, focus and directrix, as well as opening direction rules. Also provides ellipse and hyperbola vertex, focus, and asymptote relationships, with guidance suitable for printing or classroom reference use. Designed for personal classroom instruction under licensing terms.",{"@graph":63,"@context":112},[64,80,95],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":36,"@type":70,"position":76},"https://docshare.wps.com/template/forms/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/conic-sections-reference-sheet-formula-sheet/574151/",4,{"url":78,"name":59,"@type":81,"author":82,"headline":59,"publisher":85,"fileFormat":88,"inLanguage":57,"description":61,"dateModified":89,"datePublished":89,"encodingFormat":88,"isAccessibleForFree":90,"interactionStatistic":91},"DigitalDocument",{"name":83,"@type":84},"Rhys","Person",{"url":68,"name":86,"@type":87},"DocShare","Organization","application/pdf","2026-10-14",true,{"@type":92,"interactionType":93,"userInteractionCount":4},"InteractionCounter",{"@type":94},"ViewAction",{"@type":96,"mainEntity":97},"FAQPage",[98,104,108],{"name":99,"@type":100,"acceptedAnswer":101},"What conic sections are covered in the reference sheet?","Question",{"text":102,"@type":103},"The sheet covers circles, parabolas, ellipses, and hyperbolas, including their standard equations and key parts.","Answer",{"name":105,"@type":100,"acceptedAnswer":106},"What information is provided for parabolas?",{"text":107,"@type":103},"It lists orientation, standard form, axis of symmetry, focus, directrix, and opening direction rules for parabolas centered at the origin and at other points.",{"name":109,"@type":100,"acceptedAnswer":110},"How are ellipses and hyperbolas presented?",{"text":111,"@type":103},"Ellipses include standard form plus major vertices and foci, while hyperbolas include standard form, foci, and equations for asymptotes.","https://schema.org",{"og:url":78,"og:type":114,"og:title":59,"og:site_name":86,"og:description":61},"article",{"robots":116,"canonical":78},"index,follow",{"doc_id":118,"site_id":56},574151,1791985235,{"code":4,"msg":5,"data":121},{"doc_id":118,"user_id":122,"nickname":83,"user_avatar":123,"doc_module":9,"category_id":35,"category_name":36,"doc_title":59,"doc_description":61,"doc_content":124,"file_id":125,"file_url":126,"file_type":127,"file_size":128,"view_count":4,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":47,"language":129,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":130,"faqs":131,"seo_title":132,"seo_description":61,"update_tm":119,"read_time":73},687207024643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","CONIC SECTIONS REFERENCE SHEET  \nThanks for downloading my product!  \nBe sure to follow me for new products, free items and upcoming sales.  \n[www.teacherspayteachers.com/Store/Jean-Adams](www.teacherspayteachers.com/Store/Jean-Adams)[ ](www.teacherspayteachers.com/Store/Jean-Adams)[www.flamingomath.com](www.flamingomath.com)[ ](www.flamingomath.com)[www.pinterest.com/jeanfaye/](www.pinterest.com/jeanfaye/)  \nConic Sections Reference Sheet  \nHere is a complete reference sheet for students to use while mastering the details of conic sections. You can print this reference sheet and use it in a variety of ways:  \n1) Run on colorful card stock, laminate, and sell as a fund-raiser for your department.  \n2) Copy and have students place them in their Interactive Notebooks.  \n3) Allow students to use your class set as a reference on Chapter quizzes or tests.  \nPlease visit my store for more engaging task card activities.  \nConic Sections Formula Sheet  \nCircles:  \n\n|  | Center at Origin | Center at (􀢎, 􀢑) |\n| --- | --- | --- |\n| Standard Form | 􀝔 2 + 􀝕 2 = 􀝎 2 | 􀝔 – ℎ 2 + 􀝕 – 􀝇 2 = 􀝎 2\u003Cbr>|\n| Radius: | 􀝎 | 􀝎 |\n| Diameter: | 2􀝎 | 2􀝎 |\n\n| Parabolas centered at the Origin: |  |  |\n| --- | --- | --- |\n| Orientation: | Vertical | Horizontal |\n| Standard Form of Equation | 􀝔 2 = 4􀜿􀝕 | 􀝕 2 = 4􀜿􀝔 |\n| Axis of Symmetry | 􀝔 = 0 | 􀝕 = 0 |\n| Focus | (0, 􀜿) | (􀜿, 0) |\n| Directrix | 􀝕 = −􀜿 | 􀝔 = −􀜿 |\n| Parabolas centered at (􀢎, 􀢑) |  |  |\n| Standard Form of Equation | 􀝔 – ℎ 2 = 4􀜿 (􀝕 − 􀝇)\u003Cbr>| 􀝕 – 􀝇 2 = 4􀜿 (􀝔 − ℎ)\u003Cbr>|\n| Axis of Symmetry | 􀝔 = ℎ | 􀝕 = 􀝇 |\n| Focus | (ℎ, 􀝇 + 􀜿) | (ℎ + 􀜿, 􀝇) |\n| Directrix | 􀝕 = 􀝇 − 􀜿 | 􀝔 = ℎ − 􀜿 |\n| Opening | Upward if 􀜿 > 0 Downward if 􀜿 \u003C 0 | Right if 􀜿 > 0 Left if 􀜿 \u003C 0 |\n\n© 2015 – present Flamingo MathTM  \n| 􀢇􀫛 is always largest |  | 􀢉􀫛 = 􀢇􀫛 − 􀢈􀫛 |  |\n| --- | --- | --- | --- |\n| Orientation: | Horizontal |  | Vertical |\n| Equation in Standard Form Centered at the Origin: | 􀯫􀯔22 + 􀯬􀯕22 = 1 |  | 􀯫􀯕22 + 􀯬􀯔22 = 1 |\n| Ellipses centered at (􀢎, 􀢑): |  |  |  |\n| Equation in Standard Form | ~~ ~~2~~ ~~2 + 􀝕~~ ~~2~~ ~~2 = 1 |  | ~~ ~~2~~ ~~2 + 􀝕~~ ~~2~~ ~~2 = 1 |\n| Major Vertices | (ℎ ± 􀜽, 􀝇) |  | (ℎ, 􀝇 ± 􀜽) |\n| Foci | (ℎ ± 􀜿, 􀝇) |  | (ℎ, 􀝇 ± 􀜿) |\n\n| 􀢇􀫛 is always first |  | 􀢉􀫛 = 􀢇􀫛 + 􀢈􀫛 |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| Orientation: | Horizontal |  |  |  | Vertical |  |  |\n| Equation in Standard Form Centered at the Origin: | 2 2 􀝔􀜽2 − 􀝕􀜾2 = 1 |  |  |  | 2 2 􀝕􀜽2 − 􀝔􀜾2 = 1 |  |  |\n| Hyperbolas centered at (􀢎, 􀢑): |  |  |  |  |  |  |  |\n| Equation in Standard Form | 􀝔 − ℎ 2 􀝕 − 􀝇 2\u003Cbr>~~ ~~ − ~~ ~~ = 1\u003Cbr>􀜽 2 􀜾 2\u003Cbr>|  |  |  | 􀝕 − 􀝇 2 􀝔 − ℎ 2\u003Cbr>~~ ~~ − ~~ ~~ = 1\u003Cbr>􀜽 2 􀜾 2\u003Cbr>|  |  |\n| Foci | (ℎ ± 􀜿, 􀝇) |  |  |  | (ℎ, 􀝇 ± 􀜿) |  |  |\n| Asymptotes | 􀝕 − 􀝇 = ± |  | 􀜾\u003Cbr>􀜽 | 􀝔 − ℎ\u003Cbr>| 􀝕 − 􀝇 = ± | 􀜽\u003Cbr>\u003Cbr>􀜾 | 􀝔 − ℎ\u003Cbr>|\n\n© 2015 – present Flamingo MathTM  \nLet’s Connect . . .  \nI have a passion and drive to create rigorous, engaging lessons of the highest quality for teachers and students. My products  \ninclude guided notes, Foldables,© SMART Board© lessons, games, activities, homework, assessments, and so much more. My resources are focused on three courses for your honors  \nstudents.  \nAlgebra 2, Pre-Calculus, and Calculus.  \nTerms of Use  \n© 2012-present Jean Adams – Flamingo Math TM, LLC  \nAll rights reserved. This product is for your personal classroom use only and is not transferable. This license is not intended for use by organizations or multiple users, including but not limited to schools, multiple teachers within a grade level, or school districts. If you would like to share this product with your colleagues or department, please purchase additional licenses from my store at a discounted price.  \nCopying any part of this product and posting the resource on the internet in any form, including classroom/personal websites, social media, Amazon Inspire, or network drives is prohibited, unless the site is password protected where only students can access the content. Violations are subject","cbCaio0HhGvXqcF2","https://ap.wps.com/l/cbCaio0HhGvXqcF2","pdf",946185,"English","# Conic Sections Reference Sheet\n## Conic Sections Formula Sheet","[{\"question\":\"What conic sections are covered in the reference sheet?\",\"answer\":\"The sheet covers circles, parabolas, ellipses, and hyperbolas, including their standard equations and key parts.\"},{\"question\":\"What information is provided for parabolas?\",\"answer\":\"It lists orientation, standard form, axis of symmetry, focus, directrix, and opening direction rules for parabolas centered at the origin and at other points.\"},{\"question\":\"How are ellipses and hyperbolas presented?\",\"answer\":\"Ellipses include standard form plus major vertices and foci, while hyperbolas include standard form, foci, and equations for asymptotes.\"}]","Conic Sections Reference Sheet - Formula Sheet | PDF"]