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 + 27
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.
Linear function:
1. Analyze the two functions. Answer the following reflection questions in complete
sentences
2. What is the domain and range of the rainbow?
3. Explain what the domain and range represent in context.
4. Do all of the values make sense in this situation? Why or why not?
5. What are the X- and y-intercepts of the rainbow?