// Numbas version: exam_results_page_options
{"name": "PreCal  Find equation of the hyperbola given Vertices Vertical and Asymptotes", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [], "ungrouped_variables": ["b", "m", "a"], "name": "PreCal  Find equation of the hyperbola given Vertices Vertical and Asymptotes", "preamble": {"js": "", "css": ""}, "metadata": {"licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International", "description": ""}, "statement": "<p>GIVEN:&nbsp; A hyperbola with vertices at $(0,\\pm \\var{b})$ and asymptotes $y=\\pm \\var{m} x$</p>", "variables": {"m": {"definition": "random(0.25..5#0.25)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "m"}, "a": {"definition": "b/m", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "a"}, "b": {"definition": "random(1..9)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "b"}}, "rulesets": {}, "functions": {}, "tags": [], "advice": "", "parts": [{"gaps": [{"vsetRange": [0, 1], "checkingType": "dp", "vsetRangePoints": 5, "customMarkingAlgorithm": "", "unitTests": [], "showCorrectAnswer": true, "checkingAccuracy": 3, "showPreview": true, "extendBaseMarkingAlgorithm": true, "valuegenerators": [{"value": "", "name": "x"}, {"value": "", "name": "y"}], "marks": 1, "type": "jme", "showFeedbackIcon": true, "customName": "", "adaptiveMarkingPenalty": 0, "variableReplacementStrategy": "originalfirst", "scripts": {}, "answer": "y^2/{b}^2-x^2/{a}^2", "failureRate": 1, "variableReplacements": [], "useCustomName": false, "checkVariableNames": false}], "sortAnswers": false, "type": "gapfill", "customName": "", "adaptiveMarkingPenalty": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "unitTests": [], "showCorrectAnswer": true, "prompt": "<p>Write the equation of the hyperboa in standard form:</p>\n<p><em>(enter any decimal values to 3 decimal places)</em></p>\n<p>[[0]] $=1$</p>", "showFeedbackIcon": true, "scripts": {}, "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "marks": 0, "useCustomName": false}], "extensions": [], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}