Evaluating a quadratic function for a given value of $t$.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Evaluate $g(t)=\\simplify{{a}t^2+{b}t+{c}}$ when $t=\\var{n}$.
", "advice": "If $g(t)=\\simplify{{a}t^2+{b}t+{c}}$, to find $g(\\var{n})$ we need to evaluate $g(t)$ when $t=\\var{n}$:
\n{check}
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\"", "description": "", "templateType": "long string", "can_override": false}, "sol2": {"name": "sol2", "group": "Ungrouped variables", "definition": "\"\\\\[ \\\\begin{split} g(\\\\var{n}) &\\\\,= \\\\simplify[alwaysTimes,unitFactor]{{a}{n}^2+{b}{n}+{c}} \\\\\\\\ &\\\\,= \\\\simplify[!collectNumbers,unitFactor]{{a}{n^2}+{b*n}+{c}} \\\\\\\\ &\\\\,=\\\\simplify[,!collectNumbers,unitFactor]{{a*n^2}+{b*n}+{c}}\\\\\\\\ &\\\\,=\\\\simplify{{a*n^2+b*n+c}}. \\\\end{split} \\\\]
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", "gaps": [{"type": "jme", "useCustomName": true, "customName": "Gap 0", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{a*n^2+b*n+c}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": []}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}]}], "contributors": [{"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}