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.