// Numbas version: finer_feedback_settings {"name": "Identify the point lying on a parabola", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Identify the point lying on a parabola", "tags": [], "metadata": {"description": "

Students are given a parabola equation and 4 points. They need to determine which point lies on the parabola.

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Which of the following points lies on the parabola $y = \\var{a} x^2 - \\var{b}x - \\var{c}$?

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The best way to approach this is to substitute the points into the equation and see which one works.

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You will observe that in all four choices, $x = \\var{x}$.

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If we substitute $x=\\var{x}$ into the equation $y = \\var{a} x^2 - \\var{b} x -\\var{c}$ we find that $y = \\var{a*x*x-b*x-c})$.

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So the point that lieson the parabola is $(\\var{x},\\var{a*x*x-b*x-c})$.

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parabola constant

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parabola constant

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parabola constant

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