Construction of Parabola via Two Given Points:
Given the points A and B. Assume a point C, and sketch line CA and CB. Divide lines CA and CB in equal parts and mark them as displayed in diagram. Sketch lines joining 1 and 1, 2 and 2, 3 and 3 and 4. These lines are tangent to the parabolic curve. Connect the intersection points as shown in the diagram and sketch the parabolic curve.