Transforming Algebraic Functions Shifting Stretching and Reflecting

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=DpCunAnbPgY

This video shows the Reflection Rules with examples for reflection across the x-axis, y-axis, y=x, and y=-x.","styleRuns":[{"startIndex":0,"length":108,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":108,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMsBELsvGAIiEwic_riwoNqLAxWRx0kHHW4ZI5c=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0RwQ3VuQW5iUGdZGAYyJSIRIgtEcEN1bkFuYlBnWTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMsBELsvGAIiEwic_riwoNqLAxWRx0kHHW4ZI5c=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMoBELovIhMInP64sKDaiwMVkcdJBx1uGSOX"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"YZlK3rPHXrw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/YZlK3rPHXrw/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLC90oMsAi7bmK0G32Pkt_oxQ2BU8Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/YZlK3rPHXrw/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLD3wKb8-amSjxmfbRDeH6M1S2Br9g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Germany | Olympiad Mathematics | Fully solved and confirmed by Phil Cool Math 120 views 8 hours ago 8 minutes, 29 seconds"}},"simpleText":"Germany | Olympiad Mathematics | Fully solved and confirmed"},"longBylineText":{"runs":[{"text":"Phil Cool Math","navigationEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5cyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PhilCoolMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC3BeBwlKdQzLQJhCbA2CA9A","canonicalBaseUrl":"/@PhilCoolMath"}}}]},"publishedTimeText":{"simpleText":"8 hours ago"},"viewCountText":{"simpleText":"120 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"8 minutes, 29 seconds"}},"simpleText":"8:29"},"navigationEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5cyB3JlbGF0ZWRIhvzszsDTq8gOmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=YZlK3rPHXrw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"YZlK3rPHXrw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=61994adeb3c75ebc ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=812500 mt=1740329099 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Phil Cool Math","navigationEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5cyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@PhilCoolMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC3BeBwlKdQzLQJhCbA2CA9A","canonicalBaseUrl":"/@PhilCoolMath"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5c="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/osb_Sf9qyGg-Iml01cpdhLd-c8N5kcJgDmObcJofZhpJpr1VFBn7tBruAoBUKbsY05dwhyNg6A=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5dAvL2dnuvb0sxh","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"120 views"}},"simpleText":"120 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMgBEP6YBBgGIhMInP64sKDaiwMVkcdJBx1uGSOX","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMgBEP6YBBgGIhMInP64sKDaiwMVkcdJBx1uGSOX","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"YZlK3rPHXrw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMgBEP6YBBgGIhMInP64sKDaiwMVkcdJBx1uGSOX","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["YZlK3rPHXrw"],"params":"CAQ%3D"}},"videoIds":["YZlK3rPHXrw"]}},{"clickTrackingParams":"CMgBEP6YBBgGIhMInP64sKDaiwMVkcdJBx1uGSOX","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMkBELlqIhMInP64sKDaiwMVkcdJBx1uGSOX"}},"popupType":"TOAST"}}]}},"trackingParams":"CMgBEP6YBBgGIhMInP64sKDaiwMVkcdJBx1uGSOX"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5c=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtZWmxLM3JQSFhydw%3D%3D","commands":[{"clickTrackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5c=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMcBEI5iIhMInP64sKDaiwMVkcdJBx1uGSOX","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5c=","hasSeparator":true}}],"trackingParams":"CMQBEKQwGAAiEwic_riwoNqLAxWRx0kHHW4ZI5c=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"8 minutes, 29 seconds"}},"simpleText":"8:29"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMYBEPnnAxgCIhMInP64sKDaiwMVkcdJBx1uGSOX","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"YZlK3rPHXrw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMYBEPnnAxgCIhMInP64sKDaiwMVkcdJBx1uGSOX","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"YZlK3rPHXrw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMYBEPnnAxgCIhMInP64sKDaiwMVkcdJBx1uGSOX"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMUBEMfsBBgDIhMInP64sKDaiwMVkcdJBx1uGSOX","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMUBEMfsBBgDIhMInP64sKDaiwMVkcdJBx1uGSOX","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"YZlK3rPHXrw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMUBEMfsBBgDIhMInP64sKDaiwMVkcdJBx1uGSOX","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["YZlK3rPHXrw"],"params":"CAQ%3D"}},"videoIds":["YZlK3rPHXrw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMUBEMfsBBgDIhMInP64sKDaiwMVkcdJBx1uGSOX"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Germany | Olympiad Mathematics | Fully solved and confirmed - 8 minutes, 29 seconds - Go to channel - Phil Cool Math - 120 views - 8 hours ago - play video"}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/DpCunAnbPgY/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLDjxI13FXzYPc1CH7IlxrXMLH6VIw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/DpCunAnbPgY/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLD8alpF0iZvt9xYaU6jmMqf79XePQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"45 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3350052,"darkTheme":3350052}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4992566,"darkTheme":4992566}}},"stackColor":{"lightTheme":10054520,"darkTheme":9664126}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Geometry"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Math in Minutes

#############################

New on site