{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-c03aa079.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-517835be.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Quadratic Graphs - Part 2' data-url='/boclips/videos/634c05effbe9a926370f7d9d' data-video-url='/boclips/videos/634c05effbe9a926370f7d9d' 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\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=\"30356647\" href=\"/search?publisher_ids%5B%5D=30356647\"\u003eFuseSchool\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'\u003eCREDITSAnimation \u0026amp; Design: Jean-Pierre LouwNarration: Lucy BillingsScript: Lucy BillingsIn this video we are going to discover even more information connecting the quadratic equation with it’s graphed function. We will look at the...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eCREDITS\u003cbr/\u003eAnimation \u0026 Design: Jean-Pierre Louw\u003cbr/\u003eNarration: Lucy Billings\u003cbr/\u003eScript: Lucy Billings\u003cbr/\u003e\u003cbr/\u003eIn 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.\u003cbr/\u003e\u003cbr/\u003eThe 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.\u003cbr/\u003e\u003cbr/\u003eWe can easily find the x-coordinate of the turning\u003cbr/\u003epoint by using this simple little equation…\u003cbr/\u003ex = 2a\u003cbr/\u003e−b\u003cbr/\u003eaxis of symmetry, x = 2a where\u003cbr/\u003e−b y = ax2 + bx + c\u003cbr/\u003e\u003cbr/\u003eSo b is the value in front of the x in the equation\u003cbr/\u003eAnd a is the value in front of the x2\u003cbr/\u003eSo let’s check it for this graph… \u003cbr/\u003e\u003cbr/\u003eA is 1\u003cbr/\u003eAnd b is -2\u003cbr/\u003e\u003cbr/\u003eSo the axis of symmetry = - -2 / 2 X 1\u003cbr/\u003eSo 2 / 2 which is 1.\u003cbr/\u003eSo x = 1\u003cbr/\u003e\u003cbr/\u003ewe 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)\u003cbr/\u003e\u003cbr/\u003eSo 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\u003cbr/\u003ethat we can sketch a quadratic showing it’s correct shape and labelling 4 points on the function.\u003cbr/\u003e\u003cbr/\u003eSo 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. 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