Algebra 2: Exam #7 Study Guide #2
Name:________________________________Period:_____ Score:__________/100
Directions: Graph each conic. Identify which type of conic is represented by the equation. If the
equation is a circle, identify the coordinates of the center and the length of the radius. If the conic is
an ellipse, identify the coordinates of the center, and the coordinates of the foci. If the conic is a
hyperbola, identify the coordinates of the foci, and the equations of the asymptotes.
LABEL ALL YOUR ANSWERS APPROPRIATELY!!!
2
2
x  (y  2)  9
1)
12
10
8

6
4
2
-10
-5
5
10
-2
-4
-6
-8
-10
-12
4(x  2) 2  25(y  5) 2  100
2)
12
10
8

6
4
2
-10
-5
5
10
-2
-4
-6
-8
-10
-12
9x 2 16y 2  144
3)
12
10
8

6
4
2
-10
-5
5
-2
-4
-6
-8
-10
-12
10

Directions: Write the equation of each conic section and sketch its graph.
4) circle with center at (-3, 2) and radius 7
5) ellipse with center (-3, 4), vertices at
(-3, 9) and (-3, -1) and co-vertices at
(-5, 4) and (-1, 4)
12
12
10
10
8
8
6
6
-10
4
4
2
2
-5
5
10
-10
-5
-2
5
10
-2
-4
-4
-6
-6
-8
-8
-10
-10
-12
-12
6) hyperbola with a horizontal transverse axis with its center at the origin and central rectangle with a
base of 10 units in length and a height of 6 units.
12
10
8
6
4
2
-10
-5
5
10
-2
-4
-6
-8
-10
-12
Directions: Write each equation in standard form. Identify which type of conic section it represents.
7) 9x 16y  108 x  128 y  76
2
8) 9x 18x  4 y  24 y  9
2
2

2
Directions: Use the binomial formula to expand the following binomials.
9)
(3x  2) 5

(2x  5) 4
10)

Directions: Find the 4rd term of the expansion.
11) x  3y7

Directions: Find and evaluate each sum.
3
5
12)  2x  3
13)  3
x1

k2
k2

Directions: Write sigma notation for each sum.
14) 2  7 12 17  22

15)

1 3 5 7 9
   
7 10 13 16 19