Unit 1 Test: Conic Sections 11.1
Find an equation for the conic 
that satisfies the given conditions:
Hyperbola, vertices (±3, 0), asymptotes y=±2x
(
)2
-
(
)2
=1
Find an equation in standard form for the parabola that satisfies the given conditions.Vertex (2, -1), opens upward, focal width = 16
(
-
)2
=
(
+
)
Find an equation in standard form for the parabola 
from the graph below.
(
-
)2
=
The focus of y2 = 12x is
(0,12)
(0,3)
(3,0)
(0,-3)
The vertex of (y - 3)2 = -8(x + 2) is
(-2,3)
(3,-2)
(-3,2)
(2,-3)
(
Find an equation in standard form for the ellipse 
that satisfies the given conditions:
Foci (1, -4) and (5, -4), 
major axis endpoints (0, -4) and (6, -4)
)
2
+
(
)
2
=1
Vertices:(from top to bottom)
Center:
Find the center and vertices of the ellipse. Write your answers in coordinate form e.g. (-3,4).
Vertices:(from top to bottom)
Eccentricity=
Find the vertices and  eccentricity of the ellipse. Write your answers in coordinate form e.g. (-3,4).
9x2 + 4y2 - 18x + 8y - 23 = 0
One focus of x2 - 4y2 = 4 is:
(0,0)
(2,0)
(0,√5)
(√5,0)
The center of 4x2 - 12y2 - 16x - 72y - 44 = 0 is at the point:
Write your answers in coordinate form e.g. (-3,4)
(b) Find the depth of the satellite dish at the vertex. 
Round your answer to one decimal point)
A satellite dish with a parabolic cross section is 5 m wide at the opening, and the focus is placed 1.2m from the vertex. Given that the vertex is at the origin and the x -axis is the parabola’s axis of symmetry:
a)find an equation of the parabola.
2
=
m
( all answers are in lower cases with no space)
Identify the type of conic section whose equation is given
a) x2 = y + 1
b) x2 = y2 + 1
c) x2  = 4y - 2y2
Write the directrix equation of the parabolas below
a) x2 = - 8y
b)
(all answers are in lower case, no space)
x = -0.25y2
Which one is the equation of the graph below?
C
A
B
D
If the vertex is at (1,2) and focus (3,2) then find the equation of the parabola.
y2 -8x + 4y + 12 = 0
y2 - 8x - 4y - 12 =0 
y2 - 8x - 4y +12 = 0
y2 + 8x + 4y + 12 = 0
The foci of the ellipse
coincide ( the same).
and the hyperbola
What is the value of b2?

The center of the circle

 4x² + 4y² – 8x + 24y – 25 = 0 is?

 write in coordinate form with parentheses, 
for example, (1,2)
The eccentricity of the hyperbola  9x2 - 16y2 = 144 is
The focus of the parabola x2 - 8x + 2y + 7 = 0  is
 write in coordinate form with parentheses, for example(1,2)
x -intercepts
Given the following equation 9x2 + 4y2 = 36
 Find the x intercepts of the graph of the equation.
From left to right, write in coordinate form 
with parentheses
and
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