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After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola.The equation for this parabola is y = -x^2+ 36.1.In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.
2.Analyze the two functions. Answer the following reflection questions in complete sentences.○What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?3.Domain is -6 to 6 and the range is going to be from 0 to 36. The the domain points are wherethe rainbow comes in contact with the ground and it rises up from its minimum hight at ground level (0) to its vertex at (0,36) The values make sense because they represent real life situations as a rainbow can not have points underground.