In Problems 21-38, find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation. 21. Focus at (4, 0); vertex at (0,0) 22. Focus at (0, 2); vertex at (0,0) 24. Focus at (-4, 0); vertex at (0,0) 23. Focus at (0, -3); vertex at (0,0) 25. Focus at (-2, 0); directrix the line x = 2 26. Focus at (0, –1); directrix the line y = 1 27. Directrix the line y vertex at (0,0) vertex at (0,0) 28. Directrix the line x = 29. Vertex at (0,0); axis of symmetry the y-axis; containing the point (2, 3) 30. Vertex at (0,0); axis of symmetry the x-axis; containing the point (2, 3) 31. Vertex at (2, –3); focus at (2, –5) 33. Vertex at (-1, –2); focus at (0, -2) 32. Vertex at (4, –2); focus at (6, -2) 34. Vertex at (3, 0); focus at (3, -2) 36. Focus at (2, 4); directrix the line x = -4 35. Focus at (-3, 4); directrix the line y = 2 37. Focus at (-3, –2); directrix the line x = 1 38. Focus at (-4, 4); directrix the line y = -2

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