Download Review – Circles, Parabolas, Midpoint, Distance 4/10/15 Graph the

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: ____________