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Advanced Algebra – Unit 11 Name:_______________________ Review – Circles, Parabolas, Midpoint, Distance 4/10/15 Graph the circle. Name the radius and center. 1). (x - 4)2 + (y + 1)2 = 9 2) x2 + (y – 4)2 = 1 3) (x + 2)2 + y2 = 25 Complete the square to write an equation of a circle in standard form. 4). x2 + y2 – 12x + 10y + 52 = 0 5). x2 + y2 – 4x + 2y – 4 = 0 6) x2 + y2 + 6y – 8 = 0 Use the given information to write an equation of the circle. 7). radius = 6, center (2, -2) 8). radius = 7 , center (3, 4) 9). radius = 1, center (0, -7) 10). radius = 2 3 , center (8, 0) Name the vertex, focus, and directrix of each parabola. 11). x 2 12 y 12) Vertex:____________ Vertex:__________ Vertex:__________ Focus:_____________ Focus:___________ Focus:___________ Directrix:__________ Directrix:________ Directrix:________ y 2 4 x 13). x 2 6 y Write an equation of a parabola with vertex at the origin and the given focus. 14). focus at (0, 5) 15). focus at (−2, 0) 16). focus at (2.5, 0) Write an equation of a parabola with vertex at the origin and the given directrix. 17). directrix x = 7 18). directrix y = -2 19). directrix y = 4 20). directrix x = -3 Given the endpoints of the diameter of a circle (A and B), find the center and radius: 21). A(1, 5) and B(7, -3) Center: ____________ Radius: ____________ 22). A(0, -7) and B(3, -11) Center: ____________ Radius: ____________