Analytic Geometry Answers

: Write the equation of the dircetrix of the conic section shown below. Write your answer without using spaces.

Y^2 + 16y + 4x + 4 = 0

Answer:_________

: What are the coordinates of the vertices of the conic section shown below?

(y+2)^2 (x-3)^2
---------- - ---------- = 1
16 9

A: (0, -2) and (6, - 2)
B: (-2, -1) and (-2, 7)
C: (-1, -2) and (7, - 2)
D: (3, -6) and (3, 2)


: What are the coordinates of the foci of the conic section shown below?

(y+2)^2 (x-3)^2
---------- - ----------- = 1
25 4



a: (3 ± √21, -2)

b: (3 ± √29, -2)

c: (3, -2 ± √29)

d: (3, -2 ± √21)


: Which direction does the graph of the equation shown below open?

X^2 + 6x – 4y + 5 = 0

A: up
B: down
C: right
D: left

: Which of the following correctly identifies the vertices that lie on the major axis of the conic section shown below?

(x+2)^2 (y-1)^2
---------- + ---------- = 1
64 81


A: (-2,-7) and (-2,9)

B: (-10,1) and (6,1)

C: (-11,1) and (7,1)

D: (-2,-8) and (-2,10)


: Which of the following expresses the coordinates of the foci of the conic section shown below?

(x-2)^2 (y+5)^2
--------- + ------------ = 1
4 9


A: (2 ± √13, -5)

B: (2, -5 ± √5)

C: (2 ± √5, -5)

D: (2, -5 ± √13)


: What is the length of the transverse axis of the conic section shown below?

(y+2)^2 (x-3)^2
---------- - ----------- = 1
25 4

Answer:______

: What are the coordinates of the center of the circle shown below?

Express your answer in the form (a,b) without using spaces.

X^2 + y^2 – 2x + 6y + 9 = 0

Answer: ________


: What is the radius of the circle shown below?

X^2 + y^2 – 12x – 6y + 9 = 0

Answer:_________

: What is the length of the major axis of the conic section shown below?

(x+2)^2 (y-1)^2
---------- + ---------- = 1
49 25


Answer:_______

: Graph the equation below, the graph is scaled 10 high and 10 wide.

X^2 = -8y

x – 1/8 y^2 = 0

x^2 = 8y

y = 1/2x^2

: Graph the equation below, the graph is scaled 9 high and 9 wide.

X^2 – y^2/4 = 1

y^2/9 - x^2/4 = 1

y^2/2 - x^2/4 = 1

y^2 - x^2/9 = 1

: Graph the equations shown below, the graph is scaled 9 high and 9 wide.


X^2 y^2
----- + ------- = 1
20 20

6x^2 + 6y^2 = 144

x^2 + y^2 = 16

20x^2 – 20y^2 = 400

: Graph the equations shown below, the graph is scaled to 10 high and 10 wide.

X^2 y^2
----- + ------ = 1
64 36


x^2 y^2
----- - ------- = 1
64 36

x^2 y^2
---- - ------ = 1
100 64


x^2 y^2
----- + ------ = 1
100 64

: Which conic section does the equation below describe?

(x+2)^2 (y-9)^2
---------- + ------------ = 1
16 36

A: Circle
B: Hyperbola
C: Parabola
D: Ellipse

: Which conic section does the equation below describe?

(x+2)^2 = 4(y-3)

A: Parabola
B: Circle
C: Ellipse
D: Hyperbola

: Which conic section does the equation below describe?

(x+1)^2 + (y-3)^2 = 4

A: Parabola
B: Ellipse
C: Circle
D: Hyperbola


: Which conic section does the equation below describe?

(y-2)^2 = 12(x+7)

A: Ellipse
B: Hyperbola
C: Circle
D: Parabola