Alexi transformed figure L such that its image is figure K after a 90degree counterclockwise rotation about the origin and a reflection over the y-axis. On a coordinate plane, triangle K has points (negative 3, 1), (negative 1, 2), (negative 2, 5). Triangle L has points (2, negative 1), (1, negative 3), (5, negative 2).

Jonathan used figure L to perform the same transformation, but he reflected figure L over the y-axis before performing the 90degree counterclockwise rotation. Which best compares Alexi’s and Jonathan’s transformed figures?
The change in order will not affect the final image. Their transformed figures will be identical.
The change in order will result in the transformed images having vertices in the same location, but in a different orientation.
The change in order will result in the transformed image of figure L being transformed back onto figure L.
The change in order will result in the transformed image of figure L having a different location.

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 = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. 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. 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? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).