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Students convert between vertex form and intercept form, guided by vertex coordinates, focus and directrix lines, y-intercepts, and passage through specific points. Problems include cases with parabolas opening up/down or left/right and determining equations from axis of symmetry and latus rectum measurements, culminating in intercept-form exercises based on provided relations.",{"@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/writing-equations-of-parabolas-worksheet/522639/",{"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-parabolas-worksheet/522639.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":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What information is used to write the vertex form equation of each parabola?","Question",{"text":112,"@type":113},"Each problem provides a vertex, along with details such as a focus and directrix or a point the parabola passes through, plus direction of opening.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the problems determine equations for parabolas that open left or right?",{"text":117,"@type":113},"They use horizontal/vertical symmetry cues such as the axis of symmetry and provide focus-directrix or point-pair information to construct the corresponding vertex form.",{"name":119,"@type":110,"acceptedAnswer":120},"Which tasks involve writing intercept form equations?",{"text":121,"@type":113},"The worksheet includes a dedicated section where given relationships are used to form equations in intercept form, listed as problems 23 and 24.","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},522639,1791506291,{"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":29,"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___________________________________  \nWriting Equations of Parabolas Date________________ Period____  \nUse the information provided to write the vertex form equation of each parabola.  \n1) Vertex at origin, Focus: (0, − ~~ ~~312) 2) Vertex at origin, Focus: (0, ~~ ~~18)  \n3) Vertex at origin, Directrix: y = ~~ ~~14~~ ~~ 4) Vertex at origin, Directrix: y = − ~~ ~~18  \n5) Vertex: (−5, 8), Focus: ( − ~~ ~~214~~ ~~ , 8) 6) Vertex: (−8, −9), Focus: ( − ~~ ~~314~~ ~~ , −9)  \n7) Vertex: (−6, −9), Directrix: x = − ~~ ~~478~~ ~~ 8) Vertex: (8, 9), Directrix: y = ~~ ~~738  \n9) Vertex: (8, −1), y-intercept: −17 27  \n10) Vertex: (5, −1), y-intercept: −  2   \n11) Opens left or right, Vertex: (7, 6), Passes through: (−11, 9)  \n12) Opens left or right, Vertex: (7, 0), Passes through: (6, −1)  \n13) Focus: (− ~~ ~~638~~ ~~ , −7), Directrix: x = − ~~ ~~658~~ ~~ 14) Focus: (~~ ~~10712~~ ~~ , −7), Directrix: x = ~~ ~~10912  \n15) Opens up or down, and passes through (−6, −7), (−11, −2), and (−8, 1)  \n17)  \n\n| |  |  |  |  | y |  |  |  |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 4.5 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 3.5 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 3 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 2.5 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 1.5 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 1 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 0.5 |  |  |  |  |  |  |  |  |  |\n| − | 2 | − | 1 |  |  |  | 1 | 2 |  | 3 |  | 4 | x |\n|  |  |  |  | −0.5 |  |  |  |  |  |  |  |  |  |\n| −1 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n5  \n19) Vertex at origin, opens left, 18 units between the vertex and focus  \n21) Vertex: ( 10, 0), axis of symmetry: y = 0, length of latus rectum = 1, a \u003C 0  \n16) Opens up or down, and passes through ( 11, 15), (7, 7), and (4, 22)  \n18)  \n20) Vertex at origin, opens right, 18 units between the vertex and focus  \n22) Vertex: (4, 2), axis of symmetry: x = 4, length of latus rectum = ~~ ~~13~~ ~~ , a > 0  \nUse the information provided to write the intercept form equation of each parabola.  \n23) x 2 + 3x + y − 28 = 0 24) − y 2 + x − 20 y − 103 = 0  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nWriting Equations of Parabolas Date________________ Period____  \nUse the information provided to write the vertex form equation of each parabola.  \n1) Vertex at origin, Focus: (0, − ~~ ~~312) 2) Vertex at origin, Focus: (0, ~~ ~~18)  \ny = −8x 2 y = 2x 2  \n3) Vertex at origin, Directrix: y = ~~ ~~14~~ ~~ 4) Vertex at origin, Directrix: y = − ~~ ~~18  \ny = − x 2 y = 2x 2  \n5) Vertex: (−5, 8), Focus: ( − ~~ ~~214~~ ~~ , 8) 6) Vertex: (−8, −9), Focus: ( − ~~ ~~314~~ ~~ , −9)  \nx = −(y − 8)2 − 5 x = ( y + 9)2 − 8  \n7) Vertex: (−6, −9), Directrix: x = − ~~ ~~478~~ ~~ 8) Vertex: (8, 9), Directrix: y = ~~ ~~738 x = −2( y + 9)2 − 6 y = −2(x − 8)2 + 9  \n9) Vertex: (8, −1), y-intercept: −17  27  \n10) Vertex: (5, −1), y-intercept: −  \n1 2 2 y = − ~~ ~~ (x − 8) − 1  \n4 1  \ny = −  2  (x − 5)2 − 1  \n11) Opens left or right, Vertex: (7, 6), Passes through: (−11, 9)  \nx = −2( y − 6)2 + 7  \n12) Opens left or right, Vertex: (7, 0), Passes through: (6, −1)  \nx = − y 2 + 7  \n13) Focus: (− ~~ ~~638~~ ~~ , −7), Directrix: x = − ~~ ~~658~~ ~~ 14) Focus: (~~ ~~10712~~ ~~ , −7), Directrix: x = ~~ ~~10912  \nx = 2( y + 7)2 − 8 x = −3( y + 7)2 + 9  \n15) Opens up or down, and passes through (−6, −7), (−11, −2), and (−8, 1)  \ny = −(x + 9)2 + 2  \n17)  \n\n| |  |  |  |  | y |  |  |  |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 4.5 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 3.5 |  |  |  |  |  |  |  |  |  |\n|  |  |  |  | 3 |  |  |  |  |  |  |  |  |  |","cbCaikazFND7boAZ","https://ap.wps.com/l/cbCaikazFND7boAZ","pdf",38291,"English","# Writing Equations of Parabolas\n## Vertex Form\n## Intercept Form","[{\"question\":\"What information is used to write the vertex form equation of each parabola?\",\"answer\":\"Each problem provides a vertex, along with details such as a focus and directrix or a point the parabola passes through, plus direction of opening.\"},{\"question\":\"How do the problems determine equations for parabolas that open left or right?\",\"answer\":\"They use horizontal/vertical symmetry cues such as the axis of symmetry and provide focus-directrix or point-pair information to construct the corresponding vertex form.\"},{\"question\":\"Which tasks involve writing intercept form equations?\",\"answer\":\"The worksheet includes a dedicated section where given relationships are used to form equations in intercept form, listed as problems 23 and 24.\"}]","Writing Equations of Parabolas - Worksheet | PDF",1791426008]