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Worksheetsellipse and hyperbola
Total questions: 15
Worksheet time: 26mins
Name
Class
Date
1.
What is the center of the hyperbola?
a)
(0, 4)
b)
(4, 0)
c)
(-4, 0)
d)
(0, -4)
2.
Standard Form of a Hyperbola
a)
(x-h)² + (y-k)² = r²
b)
(x-h)²/a² + (y-k)²/b² = 1
c)
(x-h)²/a² - (y-k)²/b² = 1
d)
x = a(y-h)² + k
3.
What is the center of the shifted ellipse?
a)
(0,0)
b)
(-3,1)
c)
(1,-3)
d)
(3,-1)
4.
Which is the center of the circle with the equation
(x - 3)2 + (y + 5)2 = 16
a)
(3, 5)
b)
(-3, 5)
c)
(5, -3)
d)
(3, -5)
5.
a)
(4, -2)
b)
(2, -4)
c)
(-2, 4)
d)
(-4, 2)
6.
a)
(-3, 5)
b)
(1, 5)
c)
(-1, 5)
d)
(0, 5)
7.
Identify the center and the length of a and b.
a)
C: (0,4) a= 25, b=4
b)
C: (0,0) a= 4, b=25
c)
C: (0,5) a= 2, b=5
d)
C: (0,0) a= 5, b=2
8.
What are the foci of the shifted ellipse?
a)
(-5,1) and (-1,1)
b)
(±√3,0)
c)
(0,1) and (-6,1)
d)
(√3 - 3,1) and (-√3 - 3,1)
9.
What is the equation for the focus points on an ELLIPSE?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
1/4d
d)
(x-h)2 + (y-k)2 = r2
10.
Find the standard equation of the given ellipse
a)
b)
c)
d)
11.
Find the value of "c" (distance of focus) in the given ellipse
a)
invalid
b)
4.12
c)
3.24
d)
3.87
12.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what are a and b in this ellipse?
co -Vertices ( -13, 7), (-3, 7)
Length of major axis is 16
what are a and b in this ellipse?
a)
a = 8, b = 5
b)
a = 5, b = 8
c)
a = 8, b = 3
d)
a = 64, b = 25
13.
The line containing the center and foci.
a)
Major Axis
b)
Minor Axis
c)
Vertices
d)
Co-Vertices
14.
What conic section is pictured?
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
15.
Write an equation for each hyperbola that satisfies each set of conditions
a)
100x2+64y2=1
b)
64x2+100y2=1
c)
64x+100y=1
d)
64x2−100y2=1
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