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

1.Createdifferentsetsofexpressionsthatsatisfyeachdesiredoutcome:

a.Findapairofcomplexbinomialswhosesumis8+9i.

b.Findapairofcomplexbinomialswhosedifferenceis-2+6i.

2.Makeageneralizationabouttheexponentsofimaginarynumbers,regardingwhetherornotallevenoralloddexponentsresultinrealorimaginarynumbers.Explainandproveyourstatementwithactualexamplesandatleastonecompletesentencethatsupportsyourgeneralization.

1.Usethefocus-directrix definitionof a parabola to answer the following questions. 1) How would the shape of theparabola change if the focus were moved up, away from the directrix? How would we describep? 2) How would the shape of the parabola change if the focus were moved down, toward the directrix? How would we describep? 3) How would the shape of the parabolachange if the focus were moved down, below the directrix? Note: Students may explore the thisdynamic geometry constructionto 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)