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Part 1: Scenario 1: Graph y = –2x2 + 6. Describe what you see. –2x2 + 6 is what kind of polynomial? Classify the polynomial by degree and number of terms. Next, graph y = (-1/10)x2 + 6. Describe what you see. How is what you observe here different from what you observed in part A? If you wanted a really steep hill for your roller coaster, would you use the graph of y = –2x2 + 6 or y = (-1/10)x2 + 6? Why? What part of the expression affected the steepness? Using the same reasoning from part D, create an equation that will be steeper than both equations, and explain your reasoning.
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