// Numbas version: exam_results_page_options {"name": "Shantha's copy of Sara's copy of Sketching graph: which graphs are quadratic graphs", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "tags": [], "functions": {"plot": {"type": "html", "parameters": [["n", "number"], ["a", "number"], ["b", "number"], ["c", "number"]], "language": "javascript", "definition": "// This functions plots a cubic with a certain number of\n// stationary points and roots.\n// It creates the board, sets it up, then returns an\n// HTML div tag containing the board.\n\n\n// Max and min x and y values for the axis.\nvar x_min = -10;\nvar x_max = 10;\nvar y_min = -10;\nvar y_max = 10;\n\n\n// First, make the JSXGraph board.\nvar div = Numbas.extensions.jsxgraph.makeBoard(\n '300px',\n '300px',\n {\n boundingBox: [x_min,y_max,x_max,y_min],\n axis: false,\n showNavigation: false,\n grid: false,\n axis:false,\n }\n);\n\n\n\n// div.board is the object created by JSXGraph, which you use to \n// manipulate elements\nvar board = div.board; \n\n// create the x-axis and y-axis\nvar xaxis = board.create('line',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\n//var xticks = board.create('ticks',[xaxis,1],{\n// drawLabels: true,\n// label: {offset: [-4, -10]},\n// minorTicks: 0\n//});\n\n// create the y-axis\nvar yaxis = board.create('line',[[0,0],[0,1]], { strokeColor: 'black', fixed: true });\n\n\n\n\n// Plot the function.\n// board.create('functiongraph',\n// [function(x){ return (x-a)*(x-a)+b},x_min,x_max]);\n\n//Define function depending on value of n.\nswitch(n) {\n case 0:\n var f = function(x) {return a*(x-b)*(x-c); }\n break;\n \n case 1:\n var f = function(x) {return Math.log(x+a); }\n break;\n \n case 2:\n var f = function(x) {return a*x+b;}\n break;\n \n case 3:\n var f = function(x) {return Math.pow(2,x)*-a;}\n break;\n \n case 4:\n var f = function(x) {return a*x*(x-b)*(x-c);}\n break;\n \n}\n\n board.create('functiongraph', [f], {strokeWidth:3,strokeColor:'black'});\n\nreturn div;\n\n\n\n// Plot coordinates.\n// board.create('circle',[[x0,y0],0.1],{color:'red'});\n// board.create('text',[x0,y0+0.3,'A']);\n// board.create('circle',[[x1,y1],0.1],{color:'red'});\n// board.create('text',[x1,y1+0.3,'B']);\n// board.create('circle',[[x2,y2],0.1],{color:'red'});\n// board.create('text',[x2,y2+0.3,'C']);\n\nreturn div;"}}, "name": "Shantha's copy of Sara's copy of Sketching graph: which graphs are quadratic graphs", "ungrouped_variables": [], "advice": "

Quadratic functions look either like a happy smiley or a sad smiley.

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Five graphs are sketch. Task is to select those that look like parabolas/quadratics.

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{plot(n[0],a[0],b[0],c[0])}

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{plot(n[1],-a[1],b[1],c[1])}

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{plot(n[2],a[2],b[2],c[2])}

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{plot(n[3],a[3],b[3],c[3])}

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{plot(n[4],a[4],b[4],c[4])}

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Which of the following look like graphs of a quadratic function?

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This is a non-calculator question.

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