this assignment is to be completed using microsoft word in the word document yo

this assignment is to be completed using microsoft word in the word document you will solve the problems using the equation editor .1. Show using algebra that the formula for a circle is a special case of the formula for an ellipse.2. Show using algebra that the formula for a parabola is a special case of the formula for an ellipse.3. In the context of a parabola what is a focus What is a directrix What are the advantages of expressing the equation of a parabola in focus-directrix form?4. What happens to the shape of a parabola as the distance between the vertex of the curve and the focus becomes very large Prove your answer using algebra.