[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522796-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-522796-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","translating-graphs-of-trig-functions-algebra-2-worksheet","Translating Graphs of Trig Functions - Algebra 2 Worksheet","","This document provides a set of algebra 2 practice problems focused on translating the graphs of trigonometric functions. It includes a variety of exercises covering sine, cosine, tangent, cosecant, secant, and cotangent functions. The tasks require students to determine the amplitude and period of given trigonometric expressions using both degree and radian measures, followed by graphing the functions on coordinate planes. The content serves as a comprehensive educational resource for understanding phase shifts and vertical translations in trigonometry.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/translating-graphs-of-trig-functions-algebra-2-worksheet/522796/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/translating-graphs-of-trig-functions-algebra-2-worksheet/522796.png","ImageObject",300,407,{"name":42,"@type":43},"Maya Linwood","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the amplitude of the function y = -2 + tan θ?","Question",{"text":63,"@type":64},"The amplitude of the function y = -2 + tan θ is None, as tangent functions do not have a defined amplitude.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the period of the function y = 1 + sec(θ/2 - 135)?",{"text":68,"@type":64},"The period of this secant function is 720 degrees.",{"name":70,"@type":61,"acceptedAnswer":71},"How can I find the period of a trigonometric function given in radians?",{"text":72,"@type":64},"To find the period of a trigonometric function with the form y = a * trig(bθ + c) + d, you calculate it using the formula 2π/|b| for sine and cosine, or π/|b| for tangent and cotangent functions.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},522796,1791709962,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":123,"preview_page_count":4},962084928432,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name   \nTranslating Graphs of Trig Functions Date  Period   \nUsing degrees, find the amplitude and period of each function. Then graph.  \n1) y = sin ( θ − 135)  \n3) y = −2 + tan θ  \n5) y = 2 + 12csc ( θ − 135)  \n2) y = cos ( θ − 30)  \n4) y = 1 + sin θ  \n6) y = 2 + 4cos ( θ + 90)  \n7) y = 1 + cot (2θ − 90)  \n8) y = 1 + sec (~~ ~~θ2 − 135)  \nUsing radians, find the amplitude and period of each function. Then graph.  \n9) y = 12sin (3θ + π4~~ ~~) + 1  \n11) y = 4cos (2θ − ~~ ~~5π6~~ ~~) − 2  \n10) y = 3sec (~~ ~~θ2 − ~~ ~~5π6~~ ~~) − 2  \n12) y = 12tan (2θ − ~~ ~~5π3~~ ~~) + 1  \nKuta Software-Infinite Algebra 2 Name   \nTranslating Graphs of Trig Functions Date  Period   \nUsing degrees, find the amplitude and period of each function. Then graph.  \n1) y = sin ( θ − 135)  \nAmplitude: 1  \nPeriod: 360°  \n3) y = −2 + tan θ  \nAmplitude: None  \nPeriod: 180°  \n5) y = 2 + 12csc ( θ − 135)  \n2) y = cos ( θ − 30)  \nAmplitude: 1  \nPeriod: 360°  \n4) y = 1 + sin θ  \nAmplitude: 1  \nPeriod: 360°  \n6) y = 2 + 4cos ( θ + 90)  \nAmplitude: 4  \nPeriod: 360°  \n7) y = 1 + cot (2θ − 90)  \n8) y = 1 + sec (~~ ~~θ2 − 135)  \nAmplitude: None  \nPeriod: 720°  \nUsing radians, find the amplitude and period of each function. Then graph.  \n9) y = 12sin (3θ + π4~~ ~~) + 1  \n11) y = 4cos (2θ − ~~ ~~5π6~~ ~~) − 2  \n10) y = 3sec (~~ ~~θ2 − ~~ ~~5π6~~ ~~) − 2  \nAmplitude: None  \nPeriod: 4π  \n12) y = 12tan (2θ − ~~ ~~5π3~~ ~~) + 1  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaicJGV091n9vT","https://ap.wps.com/l/cbCaicJGV091n9vT","pdf",56825,"English","# Trigonometric Function Exercises\n## Degree-based Problems\n## Radian-based Problems","[{\"question\":\"What is the amplitude of the function y = -2 + tan θ?\",\"answer\":\"The amplitude of the function y = -2 + tan θ is None, as tangent functions do not have a defined amplitude.\"},{\"question\":\"What is the period of the function y = 1 + sec(θ/2 - 135)?\",\"answer\":\"The period of this secant function is 720 degrees.\"},{\"question\":\"How can I find the period of a trigonometric function given in radians?\",\"answer\":\"To find the period of a trigonometric function with the form y = a * trig(bθ + c) + d, you calculate it using the formula 2π/|b| for sine and cosine, or π/|b| for tangent and cotangent functions.\"}]","Translating Graphs of Trig Functions - Algebra 2 Worksheet | PDF",1791426182]