{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Quadratic Graphs - Part 2 | Graphs | Maths | FuseSchool' data-url='/boclips/videos/625f65f881f80e68016a2f5d' data-video-url='/boclips/videos/625f65f881f80e68016a2f5d' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nQuadratic Graphs - Part 2 | Graphs | Maths | FuseSchool\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30356011\" href=\"/search?publisher_ids%5B%5D=30356011\"\u003eCurated Video\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eCREDITS Animation \u0026amp; Design: Jean-Pierre Louw ( Narration: Lucy Billings Script: Lucy Billings In this video we are going to discover even more information connecting the quadratic equation with it’s graphed function. We will look at...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eCREDITS Animation \u0026 Design: Jean-Pierre \u003ca href='https://www.behance.net/Jean-Pierre_Louw)' target='_blank' rel='nofollow'\u003eLouw (\u003c/a\u003e Narration: Lucy Billings Script: Lucy Billings In this video we are going to discover even more information connecting the quadratic equation with it’s graphed function. We will look at the turning points - so the maximum and minimum. These are also known as the vertex. Quadratic functions are symmetrical. They have a line of symmetry which is known as the axis of symmetry. The turning point will always sit on the axis of symmetry. In a positive quadratic, the turning point is a minimum… it is the lowest point of the function. And in a negative quadratic the turning point is a maximum… it is the highest point of the function. We can easily find the x-coordinate of the turning point by using this simple little equation… x = 2a −b axis of symmetry, x = 2a where −b y = ax2 + bx + c So b is the value in front of the x in the equation And a is the value in front of the x2 So let’s check it for this graph… A is 1 And b is -2 So the axis of symmetry = - -2 / 2 X 1 So 2 / 2 which is 1. So x = 1 we can find out the y-coordinate of the turning point. Not just the line of symmetry. We use our x value from the axis of symmetry… and just substitute that into the original quadratic equation. So the coordinates of the turning point are (1, -4) So that’s the final piece of the puzzle when sketching quadratics… now let’s combine our knowledge of the roots, and the y-intercept with the turning point so that we can sketch a quadratic showing it’s correct shape and labelling 4 points on the function. If you’ve forgotten about the roots and y-intercept you may want to quickly watch this video \u003ca href='https://www.youtube.com/watch?v=Na3po6pA958)' target='_blank' rel='nofollow'\u003efirst... (\u003c/a\u003e So that’s the axis of symmetry which we use to find the coordinates of the turning point. You are usually given the little formula, but check on your formula sheet or with your teacher as you may need to memorise. And then you substitute the x value into the quadratic to find the y-coordinate. SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun \u0026 easy-to-understand videos in Chemistry, Biology, Physics, Maths \u0026 ICT. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. 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