{"id":7743,"date":"2022-09-18T04:07:03","date_gmt":"2022-09-18T04:07:03","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7743"},"modified":"2022-09-18T04:07:03","modified_gmt":"2022-09-18T04:07:03","slug":"graphing-trig-functions-practice","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/18\/graphing-trig-functions-practice\/","title":{"rendered":"Graphing Trig Functions Practice"},"content":{"rendered":"\n<p>Let\u2019s practice what we learned in the above paragraphs with few of trigonometry functions graphing questions.<\/p>\n\n\n\n<p><strong>1) Sketch the graph of&nbsp;<\/strong>y = 5 sin 2x\u00b0&nbsp;&nbsp;+ 4<\/p>\n\n\n\n<ul><li>Amplitude = 5, so the distance between the max and min value is 10.<\/li><li>Number of waves = 2 (Each wave has a period of 360\u00b0&nbsp;\u00f7 2 = 180\u00b0)<\/li><li>moved&nbsp;<strong>up<\/strong>&nbsp;by 4<\/li><li>max turning point when (5&nbsp;\u00d7&nbsp;1)+ 4 = 9 and min turning point when (5&nbsp;\u00d7&nbsp;-1) + 4 =&nbsp;-1<\/li><li>Period = 2\u03c0\/2 =&nbsp;\u03c0<\/li><li>The graph looks like:<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img decoding=\"async\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/05\/Graphing-Trig-Functions-Practice.png\" alt=\"Sketching of Trigonometric Graph\"\/><\/figure>\n\n\n\n<p><strong>2)<\/strong>&nbsp;<strong>Sketch the graph of&nbsp;<\/strong>y = 4 cos 3x\u00b0 &nbsp;+ 7<\/p>\n\n\n\n<ul><li>Amplitude = 4, so the distance between the max and min value is 8.<\/li><li>Number of waves = 2 (Each wave has a period of 360\u00b0&nbsp;\u00f7 2 = 180\u00b0)<\/li><li>the vertical shift is 7&nbsp;<\/li><li>max turning point when (4&nbsp;\u00d7&nbsp;1)+ 7 = 11 and min turning point when (4&nbsp;\u00d7&nbsp;-1) + 7 =&nbsp;3<\/li><li>Period = 2\u03c0\/3<\/li><li>The graph looks like:<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img decoding=\"async\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/09\/Cosine-graph-practice-question.png\" alt=\"\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Let\u2019s practice what we learned in the above paragraphs with few of trigonometry functions graphing questions. 1) Sketch the graph of&nbsp;y = 5 sin 2x\u00b0&nbsp;&nbsp;+ 4 Amplitude = 5, so the distance between the max and min value is 10. Number of waves = 2 (Each wave has a period of 360\u00b0&nbsp;\u00f7 2 = 180\u00b0) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[311],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7743"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=7743"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7743\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7743"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7743"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}