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Shape of parabola

Steps: 1. On a wax paper draw a line. 2. Take a point A outside the line. 3. Fold the paper so that the point А is on the line. 4. Repeat the step 3 for various positions of A on the line. 5. Which shape can you see? Geogebra construction: Folding a paper so that point A is on the line means drawing the perpendicular bisector of point A and and a point on the line. See the construction below. What is the focus? What can you see if point A is near (far from) the line? What can you see if point A is on the line?