I appreciate it. Create different sets of expressions that satisfy each desired outcome:

I would like for someone to finish this very quickly and accurate today, This is an Algebra assignment. I appreciate it.

1. Create different sets of expressions that satisfy each desired outcome:

a. Find a pair of complex binomials whose sum is 8 + 9i.

b. Find a pair of complex binomials whose difference is -2 + 6i.  

2. Make a generalization about the exponents of imaginary numbers, regarding whether or not all even or all odd exponents result in real or imaginary numbers. Explain and prove your statement with actual examples and at least one complete sentence that supports your generalization.

1. Use the focus-directrix definition of a parabola to answer the following questions.1) How would the shape of the parabola change if the focus were moved up, away from the directrix? How would we describe p?2) How would the shape of the parabola change if the focus were moved down, toward the directrix? How would we describe p?3) How would the shape of the parabola change if the focus were moved down, below the directrix?Note: Students may explore the this dynamic geometry construction to learn more about how changing the focus changes the position of the directrix and changes the shape of the parabola.

2. Given:

y = 3x2

1) Write the equation of a parabola that contains the point (2, ‒12) that is congruent to the parabola that is given. Describe the series of transformations that would move the given parabola to your parabola.2) Write the equation of a parabola that contains the point (0, 8) that is congruent to the parabola that is given. Describe the series of transformations that would move the given parabola to your parabola.3) Write the equation of a parabola that is similar (not congruent) to the given parabola that does NOT contain the point (0, 0), but does contain the point (2, 2).(3 points)