Download Chapter 10 Review #2

Algebra 2 – Chapter 10 Review #2
Write the equation of each circle.
1. center (5, -2) with radius r = 7
Name __________________
2. center (1, 4) and containing (3, 9)
Identify the center and the radius of the circle with the given equation. Then graph.
3. ( x  4)2  ( y  2)2  9
4. x 2  ( y  3)2  36
Write an equation in standard form for each ellipse with center (0, 0).
5. vertex (5, 0) and co-vertex (0, -2)
6. co-vertex (4, 0) and focus (0, -3)
Graph each ellipse. Then identify the center, vertices, and co-vertices.
7.
x2 y 2

1
9 25
8.
( x  1)2 ( y  3) 2

1
49
16
Write an equation in standard form for each hyperbola with center (0, 0).
9. vertex (0, 9) and co-vertex (7, 0)
10. vertex (8, 0) and focus (10, 0)
Graph each hyperbola. Then identify the center, vertices, and co-vertices.
y 2 x2
( x  3) 2 ( y  5) 2
11.
12.

1

1
16 49
36
9
Write an equation in standard form for each parabola with vertex (0, 0).
13. focus (0, 3)
14. directrix x = 6
Graph each parabola. Then identify the vertex, focus, value of p, and directrix.
15.
x
1 2
y
16
16.
y 3 
1
( x  2) 2
20
Find the standard form of each equation by completing the square. Then identify
the conic section.
17.
9 x 2  4 y 2  18x  56 y  223  0
18.
9 x 2  36 y 2  72 x  180  0
19.
x 2  y 2  16 x  10 y  53  0
20.
x 2  20 x  4 y  128  0
Solve each system of equations by using the substitution method.
x  5y  3
x 2  y 2  13
21.
22.
4 y 2  x 2  9
x  y 1
Solve each system of equations by using the elimination method.
2 x 2  y 2  86
4 x 2  5 y 2  20
23.
24.
x 2  3 y 2  133
8 x 2  4 y 2  16
Answer each question. Show ALL of your work.
25. Write the equation of a parabola with focus (2,3) and directrix x  6
26. Write the equation of a hyperbola with center (3, 1) , vertex (3, 2) , and co-vertex
(8, 1)
27. Write the equation of the ellipse with the given graph.