Analytic Geometry Answers

: What is the maximum number of intersection points a parabola and a circle could have?

A: 2
B: 3
C: 4
D: 1

: What is the maximum number of possible solutions for the system shown below?

X^2 – 4y^2 = 64
x^2 + y^2 = 36

A: 4
B: 2
C: 3
D: 1

: Which conic section does this equation represent?

X^2 - 4x + y^2 + 6y – 9 = 5

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

: Which conic section is represented by the equation shown below?
9x + 4y^2 + 18x = 16

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

: What is the equation of the parabola in the vertex form.

0 = y^2 – x – 4y + 3

A: (x + 12)^2 = (y – 4)
B: (x+1) = (y-2)^2
C: (x-1) = (y+2)^2
D: (x-3) = (y-2)^2





: Graph the parabola. The graph scales 6 tall and 8 wide.

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

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

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

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


: What is the equation of the parabola, in vertex form, with vertex at (2, -4) and driectrix y = - 6

A: (y+6)^2 = -8(x+2)
B: (x+2)^2 = 8(y+4)
C: (x-2)^2 = 8(y+4)
D: (y+4)^2 = 8(x-2)


: If the graph of the following parabola is shifted two units left and three units down, what is the resulting equation?

X = - 8y^2

A: (x-3) = -8(y+2)^2

B: (x+2) = -8(y+3)^2

C: (x+3) = -8(y-2)^2

D: (x-2) = -8(y-3)^2

: The focus for this parabola is (3, 0)

x^2 = 12y

A: True
B: False

: The equation of the directrix for this parabola is x = - 2

1
x = - --- y^2
8
A: True
B: False

: This parabola opens to the right.

X^2 = 12y

A: True
B: False


: Write the coordinate point for the vertex of this parabola:

1
x = - ---- y^2
8
Answer:_____

: What is the value of p? x^2 = 12y_______

: What is the length of the focal width? X^2 = 12y______

: Which of the following expressions represent the eccentricity of an ellipse?

A: None of the above are correct.
B: c/a
C: b/a
D: a/c

If you add the lengths of the foci radii of an ellipse, what other values will you produce?

A: The length of the minor axis
B: The length of the major axis
C: The value of b
D: The value of a

: Which of the following is the equation of an ellipse centered at (5,1) having a vertical minor axis of length 4 and a major axis length 6?

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

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

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


D: (x-5)^2 (y-1)^2
---------- + ----------- = 1
36 16

: Which of the following equations represents an ellipse having vertices located at (2,9) and (2,-5) and foci located at (2,5) and (2,-1)

A: (x+2)^2 (y+2)^2
---------- + ---------- = 1
40 49

B: (x-2)^2 (y-2)^2
--------- + ---------- = 1
9 49

C: (x-2)^2 (y-2)^2
--------- + ---------- = 1
40 49

D: (x-2)^2 (y-2)^2
---------- + ----------- = 1
49 40

: Graph the following ellipse shown below

(x-5)^2 (y+2)^2
--------- + ---------- = 1
9 25