{"id":2172,"date":"2020-08-02T08:55:32","date_gmt":"2020-08-02T08:55:32","guid":{"rendered":"http:\/\/ibalmaths.com\/?post_type=knowledgebase&p=2172"},"modified":"2020-08-03T14:51:53","modified_gmt":"2020-08-03T14:51:53","slug":"notes-transformation","status":"publish","type":"knowledgebase","link":"https:\/\/ibalmaths.com\/index.php\/ibdp-math-hl-2\/transformation\/notes-transformation\/","title":{"rendered":"Notes – Transformation"},"content":{"rendered":"

HORIZONTAL TRANSLATION<\/strong><\/span>
\r\nA horizontal translation takes on the form\u00a0 \r\nf<\/mi>x<\/mi><\/mfenced>→<\/mo>f<\/mi>x<\/mi>–<\/mo>a<\/mi><\/mrow><\/mfenced><\/math>\r\n<\/p>\r\n

\"\"<\/p>\r\n

VERTICAL TRANSLATION<\/strong><\/span>
\r\nA vertical translation takes on the form\u00a0 \r\nf<\/mi>x<\/mi><\/mfenced>→<\/mo>f<\/mi>x<\/mi><\/mfenced>+<\/mo>b<\/mi><\/math>\r\n \u00a0.<\/p>\r\n

\"\"<\/p>\r\n

DILATION FROM THE\u00a0 \r\nx<\/mi>–<\/mo>a<\/mi>x<\/mi>i<\/mi>s<\/mi><\/math>\r\n <\/strong><\/span><\/p>\r\n

For the curve with equation\u00a0 \r\ny<\/mi>=<\/mo>p<\/mi>f<\/mi>x<\/mi><\/mfenced><\/math>\r\n \u00a0,
\r\np<\/mi><\/mfenced>><\/mo>1<\/mn><\/math>\r\n , represents \u2018stretching\u2019\u00a0 \r\nf<\/mi>x<\/mi><\/mfenced><\/math>\r\n by a factor \r\np<\/mi><\/math>\r\n from the \r\nx<\/mi><\/math>\r\n \u2013axis.
\r\n0<\/mn><<\/mo>p<\/mi><\/mfenced><<\/mo>1<\/mn><\/math>\r\n \u00a0, represents \u2018shrinking\u2019 \r\nf<\/mi>x<\/mi><\/mfenced><\/math>\r\n by a factor\u00a0 \r\n1<\/mn>p<\/mi><\/mfrac><\/math>\r\n from the \r\nx<\/mi><\/math>\r\n \u2013axis<\/p>\r\n

DILATION FROM THE \r\ny<\/mi>–<\/mo>a<\/mi>x<\/mi>i<\/mi>s<\/mi><\/math>\r\n <\/strong><\/span><\/p>\r\n

For the curve with equation\u00a0 \r\ny<\/mi>=<\/mo>f<\/mi>x<\/mi>q<\/mi><\/mfrac><\/mfenced><\/math>\r\n ,
\r\nq<\/mi><\/mfenced>><\/mo>1<\/mn><\/math>\r\n , represents \u2018stretching\u2019 \r\nf<\/mi>x<\/mi><\/mfenced><\/math>\r\n by a factor\u00a0 \r\nq<\/mi><\/math>\r\n from the \r\ny<\/mi><\/math>\r\n \u2013axis.
\r\n0<\/mn><<\/mo>q<\/mi><\/mfenced><<\/mo>1<\/mn><\/math>\r\n \u00a0, represents \u2018shrinking\u2019 \r\nf<\/mi>x<\/mi><\/mfenced><\/math>\r\n by a factor\u00a0 \r\n1<\/mn>q<\/mi><\/mfrac><\/math>\r\n from the \r\ny<\/mi><\/math>\r\n \u2013axis.<\/p>\r\n

 <\/p>\r\n

 <\/p>","protected":false},"excerpt":{"rendered":"HORIZONTAL TRANSLATION A horizontal translation takes on the form\u00a0 fx→fx–a VERTICAL TRANSLATION A vertical translation takes on the form\u00a0 fx→fx+b \u00a0. DILATION FROM THE\u00a0 x–axis For the curve with equation\u00a0 y=pfx \u00a0, p>1 , represents \u2018stretching\u2019\u00a0 fx by a factor p from the x \u2013axis. 0<p<1 \u00a0, represents \u2018shrinking\u2019 fx by a factor\u00a0 1p from […]","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-2172","knowledgebase","type-knowledgebase","status-publish","hentry","knowledgebase_cat-transformation","no-wpautop"],"_links":{"self":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/2172","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase"}],"about":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/types\/knowledgebase"}],"author":[{"embeddable":true,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/comments?post=2172"}],"version-history":[{"count":7,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/2172\/revisions"}],"predecessor-version":[{"id":2176,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/2172\/revisions\/2176"}],"wp:attachment":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/media?parent=2172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}