5.6.4 Journal - Designing a Mountain Landscape (Journal) University of Washington MATH MISC

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5.6.4 Journal: Designing a Mountain Landscape Journal Algebra II Honors Sem 1 Name: Date: 1. Complete the table to summarize the presentation. (3 points: 1 point each) Teen 1's opinion If you w... ant the background to have three hills, then you need a polynomial with three zeros. For example, f(x)=(x-1)(x-3)(x-4). Then you can add or subtract to shift the function left or right, and multiply it by a factor to decrease, increase, or flip the flection points. Teen 2's opinion You would need at least a six degree polynomial to make three hills. What do I need to do? Critique teen 1’s work, to find her mistakes. 2. Here are the requirements for the layers of hills that teen 1 wants to create: two layers that have the same general shape — three hills — and are based on the same equation, and one layer that is just a smooth curve in the background. Take a look at teen 1's initial polynomials for three layers of hills. Teen 1 has described what he thinks each modification to the initial polynomial will do. Sketch each curve (in a different color, preferably). (You will be asked to find and repair mistakes in the next section.) (6 points: 2 [Show More]

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