[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523481-105":59,"doc-detail-523481-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","kuta-software-infinite-precalculus-transformations-of-graphs-worksheets","Kuta Software - Infinite Precalculus Transformations of Graphs - Worksheets","","Kuta Software-Infinite Precalculus worksheets on graph transformations guide students to convert between two functions f(x) (solid line) and g(x) (dashed line). Exercises ask learners to describe required transformations such as vertical and horizontal expansion or compression, translations up/down/left/right, and reflection across the x-axis. Students also translate transformation descriptions into algebraic equations, write g(x) in terms of f(x), and identify parent functions for the given graphs.",{"@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-precalculus-transformations-of-graphs-worksheets/523481/",{"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-precalculus-transformations-of-graphs-worksheets/523481.png","ImageObject",300,407,{"name":92,"@type":93},"jayni","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":56},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine transformations needed to move from f(x) (solid) to g(x) (dashed)?","Question",{"text":112,"@type":113},"The worksheet asks you to match how the graph changes, using operations like expanding or compressing vertically/horizontally, translating left/right/up/down, and reflecting across the x-axis to describe the shift from f(x) to g(x).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of transformations appear in the worksheet instructions?",{"text":117,"@type":113},"The instructions include vertical and horizontal expansion/compression, translations in four directions, and reflection across the x-axis. These are combined to create the new graph for g(x).",{"name":119,"@type":110,"acceptedAnswer":120},"How do you express g(x) in terms of f(x)?",{"text":121,"@type":113},"The worksheet directs students to use the transformation effect on the input and output, then write g(x) as a function of f( ) with the modified expression inside and any factors outside as indicated by the transformations.","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},523481,1791496743,{"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":56,"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},3985747859343,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Transformations of Graphs  \nName  Date  Period   \nDescribe the transformations necessary to transform the graph of f (x) (solid line) into that of g(x) (dashed line).  \n1)  \n2)  \nDescribe the transformations necessary to transform the graph of f (x) into that of g(x).  \n3) f (x) 􀀠  g(x) 􀀠 􀀐􀀖  􀀐 􀀔  \n4) f (x) 􀀠 x 􀀖 g(x) 􀀠 􀀖 (x 􀀎 􀀔)􀀖  \nTransform the given function f (x) as described and write the resulting function as an equation.  \n5) f (x) 􀀠 x 􀀕  \nexpand vertically by a factor of 􀀖 translate down 􀀖 units  \n6) f (x) 􀀠   \ncompress horizontally by a factor of 􀀕 translate left 􀀖 units  \n7) f (x) 􀀠  x   \nexpand horizontally by a factor of 􀀕 translate right 􀀔 unit  \ntranslate up 􀀖 units  \n8) f (x) 􀀠   \ncompress vertically by a factor of 􀀖 reflect across the x-axis translate right 􀀕 units  \ntranslate down 􀀖 units  \nWrite g(x) (dashed line) in terms of f (x) (solid line).  \n9)  \n11)  \n10)  \n12)  \nIdentify the parent function f (x) and write an equation for the function given.  \n13)  \n14)  \nKuta Software-Infinite Precalculus Transformations of Graphs  \nName  Date  Period   \nDescribe the transformations necessary to transform the graph of f (x) (solid line) into that of g(x) (dashed line).  \n1)  \nreflect across the x-axis translate left 􀀖 units  \n2)  \ncompress vertically by a factor of 􀀕 translate up 􀀖 units  \nDescribe the transformations necessary to transform the graph of f (x) into that of g(x).  \n3) f (x) 􀀠  g(x) 􀀠 􀀐􀀖  􀀐 􀀔  \nexpand vertically by a factor of 􀀖 reflect across the x-axis translate down 􀀔 unit  \n4) f (x) 􀀠 x 􀀖 g(x) 􀀠 􀀖 (x 􀀎 􀀔)􀀖  \nexpand vertically by a factor of 􀀖 translate left 􀀔 unit  \nTransform the given function f (x) as described and write the resulting function as an equation.  \n5) f (x) 􀀠 x 􀀕  \nexpand vertically by a factor of 􀀖 translate down 􀀖 units  \ng(x) 􀀠 􀀖 x 􀀕 􀀐 􀀖  \n6) f (x) 􀀠   \ncompress horizontally by a factor of 􀀕 translate left 􀀖 units  \ng(x) 􀀠 􀀕~~ (~~x~~ ~~􀀔􀀎~~ ~~􀀖~~)~~  \n7) f (x) 􀀠  x   \nexpand horizontally by a factor of 􀀕 translate right 􀀔 unit  \ntranslate up 􀀖 units  \ng(x) 􀀠  \n~~ ~~􀀔􀀕~~ ~~(x 􀀐 􀀔)  \n􀀎 􀀖  \n8) f (x) 􀀠   \ncompress vertically by a factor of 􀀖 reflect across the x-axis translate right 􀀕 units  \ntranslate down 􀀖 units  \ng(x) 􀀠 􀀐 ~~ ~~􀀔􀀖~~ ~~ 􀀐 􀀕 􀀐 􀀖  \nWrite g(x) (dashed line) in terms of f (x) (solid line).  \n9)  \ng(x) 􀀠 􀀐f (􀀖 (x 􀀎 􀀕))  \ng(x) 􀀠 􀀐f (x 􀀎 􀀔) 􀀎 􀀕  \n10)  \n12)  \ng(x) 􀀠 f (~~ ~~􀀔􀀕~~ ~~x ) 􀀐 􀀔  \ng(x) 􀀠 􀀐f (x 􀀎 􀀖) 􀀎 􀀖  \nIdentify the parent function f (x) and write an equation for the function given.  \n13)  \nParent: f (x) 􀀠  g(x) 􀀠  ~~ ~~􀀔􀀖~~ ~~(x 􀀐 􀀕)  \nx  \n14)  \nParent: f (x) 􀀠 x 􀀖 g(x) 􀀠 􀀐x 􀀖 􀀐 􀀖  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCairX0wvhxjGpR","https://ap.wps.com/l/cbCairX0wvhxjGpR","pdf",76172,"English","# Describe transformations (f(x) to g(x)\n## From solid to dashed graph\n## Expand, compress, translate, reflect\n# Write resulting function as an equation\n## Transform f(x) based on instructions\n# Write g(x) in terms of f(x)\n## Using input/output changes\n# Identify the parent function","[{\"question\":\"How do you determine transformations needed to move from f(x) (solid) to g(x) (dashed)?\",\"answer\":\"The worksheet asks you to match how the graph changes, using operations like expanding or compressing vertically/horizontally, translating left/right/up/down, and reflecting across the x-axis to describe the shift from f(x) to g(x).\"},{\"question\":\"What kinds of transformations appear in the worksheet instructions?\",\"answer\":\"The instructions include vertical and horizontal expansion/compression, translations in four directions, and reflection across the x-axis. These are combined to create the new graph for g(x).\"},{\"question\":\"How do you express g(x) in terms of f(x)?\",\"answer\":\"The worksheet directs students to use the transformation effect on the input and output, then write g(x) as a function of f( ) with the modified expression inside and any factors outside as indicated by the transformations.\"}]","Kuta Software - Infinite Precalculus Transformations of Graphs - Worksheets | PDF",1791426903]