// Numbas version: exam_results_page_options {"name": "solving equations graphically. Version 4", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "variable_groups": [{"variables": ["add2", "sub2", "ymax", "ymin", "shift", "gy"], "name": "part a"}], "tags": [], "name": "solving equations graphically. Version 4", "functions": {"eqnline": {"type": "html", "language": "javascript", "definition": "// This functions plots a quadratic graph of the form y = (x+a)^2 - b\n\n\n// Max and min x and y values for the axis.\nvar x_min = -10;\nvar x_max = 4;\nvar y_min = -6;\nvar y_max = 10;\n\n\n// First, make the JSXGraph board.\nvar div = Numbas.extensions.jsxgraph.makeBoard(\n '500px',\n '600px',\n {\n boundingBox: [x_min,y_max,x_max,y_min],\n axis: false,\n showNavigation: true,\n grid: true\n }\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('axis',[[0,0],[1,0]]);\n\n// create the y-axis\nvar yaxis = board.create('axis',[[0,0],[0,1]], );\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\n\nreturn div;", "parameters": [["a", "number"], ["b", "number"]]}}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

Simple procedures are given and student is asked to carry them out or un-do them.

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Version 1: i and ii have the same answer. iii and iv both have two answers.

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Version 2: i and ii have different answers. iii has two answers,biv has one answer.

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Version 3: i and ii have different answer. iii has one answer, iv has two answers.

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Version 4: i and ii have the same answer. iii has one answer, iv has two answers.

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Below is the graph of the function \$f(x)\$.

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What is \$f(\\var{ymax[0]})\$? [[0]]

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What is  \$f(\\var{ymin[0]})\$? [[1]]

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Solve the equation \$f(x)=\\var{gy[3]}\$?

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[[2]]

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Solve \$f(x) = \\var{gy[2]}\$?

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[[3]]

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