1. Sketch x^2-4x+y^2+3y=12 Find an equation for the circle: 2. Center at the origin, diameter of 50 3. A diameter with endpoints at (5,3) and (1,5) Find an equation for the circle: 4. Vertex at (- 3,2) and focus at (- 3,7) 5. Vertex at (4,0) and directrix is x = - 29 Sketch the parabola 0 = x2 - 4x - 4y + 16, showing its vertex, focus, directrix, axis, and latus rectum. Transform to its standard form by completing squares: 4y = x2 - 4x + 16 = (x2 - 4x + 4) + 12 = (x - 2)2 +12 (x - 2)2 = 4(y - 3) V(2,3) p=1 F(2,4) F Axis: x=2 Directrix: y=2 N W Endpoints of Latus rectum: (0,4) and (4,4) 2 3