Find the standard equation of the parabola with the following characteristics:
7) Vertex at (3, 2): focus at (1, 2)
8) Vertex at origin, focus at (0, 3)
9
9) Vertex at (-4, -1); directrix at y=0
10) Vertex at (-2, 2); directrix at = −
4
General form of a parabola: ____________________________________ or ___________________________________________
Write the equation of each parabola in standard form. Sketch the graph. Label the components.
11) x
+ 8x – 12y – 8 = 0
2
12) y
+ 2y + 12x + 13 = 0
2
13) y
+ 6y – 4x + 25 = 0
2