MAT136H1 Lecture Notes - Polar Coordinate System

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #6 (medium): forming the equation of parabola. Given the distance between the focus and directrix, the vertex can be located, which is the midpoint between the two. If the directrix is a vertical line, the parabola opens sideways and follows after the from of ( ) ( ) with vertex at ( ) Find the equation for the conic that satisfies the given conditions. Parabola, with focus at ( ) and directrix of. Since the directrix is a vertical line, the parabla opens side ways. Therefore the equation of the parabola is in the form of( ) ( ) with vertex at ( ). Then the distance between focus and directrix is , which can be divided into , which is where the vertex for coordinate is located. Vertically the vertex has moved up by , so , then the equation is ( ) and the vertex is at ( ).