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| Math Central | Quandaries & Queries |
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Question from Hannah, a student: A flea jumps from the ground to a height of 30 cm and travels 15 cm horizontally from where it started. Suppose the origin is located at the point from which the flea jumped. Determine a quadratic function in vertex form to model the height of the flea compared to the horizontal distance travelled |
Hi Hannah,
Here is my diagram of the quadratic function.
From the diagram the quadratic has roots at $x = 0$ and $x = 15.$ What is the equation of a quadratic with roots of $x = 0$ and $x = 15?$ What is another quadratic with these roots? It might help to look here or here. What is the equation of a quadratic with roots of $x = 0$ centimeters and $x = 15$ centimeters and maximum value of $f(x) = 30$ centimeters?
Penny
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