2
Write the equation of the parabola that
opens left with the vertex at (2, 4) and
goes through the point (-1, 10).
a.
( x  4)2  12( y  2)
GO TO # 6
b.
( y  4)2  12( x  2)
GO TO # 5
c.
( y  4)2  10( x  2)
GO TO # 8
d.
( x  4)2  10( y  2)
GO TO # 10
5
Write the equation of an ellipse with an
13
eccentricity of 7 and vertices at
(2, -7) and (16, -7).
a.
( x  9) 2 ( y  7) 2

1
49
36
GO TO # 1
b.
( x  9) 2 ( y  7) 2

1
36
49
GO TO # 3
c.
( x  9) 2 ( y  7) 2

1
36
49
GO TO # 10
d.
( x  7) 2 ( y  9) 2

1
49
36
GO TO # 8
;;
1
Identify the focus of:
 y  x  12 y  38  0
2
a.
7

,
-6


4

GO TO # 7
b.
 23 
 ,2 
 4 
GO TO # 4
c.
9 
 ,6 
4 
GO TO # 3
d.
9

,
-6


4


GO TO # 9
9
A nuclear cooling tower is in the shape of a
hyperbola. Suppose the hyperbola has an
eccentricity of 5/3 and is 150 feet wide at its
narrowest point. If the tower is 450 feet tall
and the base is 350 feet below the center,
what is the diameter of the TOP of the tower?
a.
333.3 feet
GO TO # 2
b.
106.1 feet
GO TO # 8
c.
212.1 feet
GO TO # 6
d.
166.7 feet
GO TO # 7
6
An arch over a bridge is semi-elliptical. The base
of the arch is 30 feet wide and the height is 13
feet. What is the width of the bridge at the height
of 10 feet above the base?
a.
19.4 feet
GO TO # 9
b.
9.6 feet
GO TO # 1
c.
9.7 feet
GO TO # 2
d.
19.2 feet
GO TO # 3
o
3
Identify the foci:
4 x  9 y  40 x  126 y  35  0
2
a. (5  4
5, 7)
b. (5, 7  4
c.
5)
(5, 7  4 5)
d. (7,5  4
5)
2
GO TO # 7
GO TO # 2
GO TO # 4
GO TO # 6
Identify the asymptotes:
7
9 x 2  16 y 2  90 x  128 y  113  0
a.
4
( y  4)   ( x  5)
3
GO TO # 5
b.
4
( y  4)   ( x  5)
3
GO TO # 10
c.
3
( y  4)   ( x  5)
4
GO TO # 1
d.
3
( y  4)   ( x  5)
4
GO TO # 4
4
An experimental model for a suspension bridge is built in
the shape of a parabolic arch. The towers are both 6
inches tall and stand 48 inches apart. Find the vertical
distance from the roadway to the cable at a point on the
road 14 inches from the lowest point of the cable.
a.
2.7 inches
GO TO # 5
b.
2.4 inches
GO TO # 10
c.
2.0 inches
GO TO # 8
d.
1.7 inches
GO TO # 2
8
Given a hyperbola with vertices at (-8, 5)
and (-8, -3) and contains the point (-4, -5),
find the foci.
a.
(8,1  5.4)
GO TO # 2
b.
(1  2.9, 8)
GO TO # 10
c.
(8  4.1,1)
GO TO # 9
d.
(1, 8  2.9)
GO TO # 6