// Numbas version: exam_results_page_options {"name": "Algebra: solving equations graphically. Version 1", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {"eqnline": {"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"]], "type": "html"}}, "preamble": {"css": "", "js": ""}, "tags": [], "statement": "

If a question has more than one answer, increase the number of COLUMNS and list your answers in ASCENDING ORDER.

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

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Version 1: bi and bii have the same answer. biii and biv both have two answers.

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Version 4: bi and bii have the same answer. biii has one answer, biv has two answers.

"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": [], "variable_groups": [{"variables": ["add2", "sub2", "ymax", "ymin", "shift", "gy"], "name": "part a"}], "rulesets": {}, "parts": [{"showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "prompt": "

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Below is the graph of a 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[1]}\$?

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[[2]]

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Solve \$f(x) = \\var{gy[2]}\$?

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[[3]]

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