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{"name": "Sketching graphs: which graphs are sine and cosine", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Sketching graphs: which graphs are sine and cosine", "tags": [], "metadata": {"description": "<p>Four sinusoidal graphs are given. Student should select the one which is sine and cosine.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "", "advice": "<p>See Lecture 7.3 for sketches of sine and cosine graph.</p>", "rulesets": {}, "extensions": ["jsxgraph"], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "part a", "variables": []}], "functions": {"plot": {"parameters": [["n", "number"], ["a", "number"], ["b", "number"], ["c", "number"]], "type": "html", "language": "javascript", "definition": "// Max and min x and y values for the axis.\nvar x_min = -7;\nvar x_max = 10;\nvar y_min = -1.5;\nvar y_max = 1.5;\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// 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//Define function depending on value of n.\nswitch(n) {\n    case 1:\n    var f = function(x) {return  Math.sin(x);  }\n        break;\n    \n    case 2:\n    var f = function(x) {return Math.sin(x+3.141*0.5); }\n        break;\n    \n    case 3:\n    var f = function(x) {return Math.sin(x+3.141*1.0);}\n        break;\n    \n    case 4:\n    var f = function(x) {return Math.sin(x+3.141*1.5);}\n        break;\n}\n\n//plot the function\n    board.create('functiongraph', [f], {strokeWidth:3,strokeColor:'black'});\n\nreturn div;\n"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Match the graph with its function.</p>", "minMarks": 0, "maxMarks": 0, "minAnswers": "4", "maxAnswers": 0, "shuffleChoices": true, "shuffleAnswers": false, "displayType": "radiogroup", "warningType": "none", "showCellAnswerState": true, "choices": ["<p>{plot(1,1,1,1)}</p>", "<p>{plot(2,1,1,1)}</p>", "<p>{plot(3,1,1,1)}</p>", "<p>{plot(4,1,1,1)}</p>"], "matrix": [["0.5", "-2", "-2"], ["-2", "0.5", "-2"], ["-2", "-2", "0.5"], ["-2", "-2", "0.5"]], "layout": {"type": "all", "expression": ""}, "answers": ["<p>$y=\\sin(x)$</p>", "<p>$y=\\cos(x)$</p>", "<p>Neither</p>"]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}