- Conic Sections and Parabolas - Ellipses and Circles and Their Graphs - Defining Hyperbolas - Hyperbolas and Their Graphs - Volume of a Sphere
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Created by Elexali Olayvar
over 3 years ago
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Close
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Created by Elexali Olayvar
over 3 years ago
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Which graph represents the parabolic equation
(x − 2)^2 = 12(y − 3)?
A.
A
B.
B
C.
C
D.
D
What is the equation of this graph?
A.
(y + 4)^2 = -8(x − 5)
B.
(y − 5)^2 = -8(x + 4)
C.
(x + 4)^2 = -8(y − 5)
D.
(x − 5)^2 = -8(y + 4)
Which conic section is shown in the image?
A.
circle
B.
ellipse
C.
parabola
D.
hyperbola
In the graph, what are the x- and y-coordinates of the center?
A.
(0, 2)
B.
(2, -1)
C.
(1, 0)
D.
(-1, 2)
In the graph, what does A represent?
A.
foci
B.
minor axis
C.
major axis
D.
vertices
If the length of the major axis of an ellipse is 28 units and the foci are located 3.5 units away from the center, what is the eccentricity of the ellipse?
A.
0.25
B.
0.5
C.
0.05
D.
0.75
In the graph, what does A represent?
A.
major axis
B.
vertices
C.
minor axis
D.
foci
An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576.
If one of its foci is the sun’s position, the minimum distance between the asteroid and the sun is ______
AU. (Note that x and y are expressed in astronomical units, AU.)
The perimeter of the largest cross section of a sphere is 88 centimeters.
The radius of the sphere is ___
cm. The volume of the sphere is ___
cm^3.
A cone’s height and its radius are each equal to half the radius of a sphere. How many of these cones would it take to equal the volume of the sphere?
A.
16
B.
24
C.
32
D.
48
