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LouisianaMathsQuick questions

Quadratics

Quick questions on Quadratic applications and modeling - Louisiana LEAP 2025 Algebra I

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

what is the most or the least, and when does it happen?
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A quadratic is the simplest function with a single turning point, so whenever a quantity rises and then falls (or falls and then rises), a parabola models it and the vertex marks the turn. For a thrown object, gravity pulls the height up to a peak and back down, and the vertex is exactly that peak, the maximum height and the time of it. For a fixed-perimeter rectangle, the area grows then shrinks as the shape changes, and the vertex gives the dimensions of greatest area.
What is q1?
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For h(t)=−16t2+48th(t) = -16t^2 + 48t, when does the object land? [2 points]
What is q2?
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A rectangle has length xx and width 10−x10 - x. Write its area A(x)A(x). [1 point]

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