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1. In a science experiment, a student is studying the relationship between the temperature and the growth of a plant. She develops the following quadratic model: h = -0.0625 t²

+ 3t - 20, where h is the height of the plant, in cm, and t is the growing temperature, in °C. a. Determine the temperatures that result in a plant height of zero. b. Use your result from part a) to find the temperature that will maximize the height of the plant. c. Use your results from part b) to find the maximum height. d. Use your results above to sketch a graph for this relation.

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