The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wide and 27 inches high.a. Use the description of the fountain to label the 3 points on the graph, modeling the path of the water.Lin says that the function W(x) = × (32 - ×) is a good model for the data.b) . How would you transform this function to make a better model? Please include both a written description of the transformation type as well as the scale factor.c) Write the equation that you described in part "b" of this question. Call your function T(x). 7. The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by thewater is 32 inches wide and 27 inches high.a. Use the description of the fountain to label the 3points on the graph, modeling the path of the water.Y252015105O5Lin says that the function W(x) = x(32x) is a good model for the data.10 15 20 25 30b. How would you transform this function to make a better model? Please include both a writtendescription of the transformation type as well as the scale factor. (2C. Write the equation that you described in part "b" of this question. Call your function T(x).

Given that: Height of arch of water = 27 in Width of arch of water = 32…

Answered: 7. The water from an outdoor fountain…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 47E

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The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wide and 27 inches high. a. Use the description of the fountain to label the 3 points on the graph, modeling the path of the water. Lin says that the function W(x) = × (32 - ×) is a good model for the data. b) . How would you transform this function to make a better model? Please include both a written description of the transformation type as well as the scale factor. c) Write the equation that you described in part "b" of this question. Call your function T(x).