MATH 110 WEEK7 TEST
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School
American Military University *
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Course
110
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
6
Uploaded by zeidameehan
Back Logout Conic Sections Exam
Report a mistake Filter By 90% View answer 1. Which shape is defined by the equation �
24 −
�
29 = 1? Circle Ellipse Parabola Hyperbola None of the above. View answer 2. Which shape is defined by the equation 2
�
225 + (
�
−3)249
= 1? Circle Ellipse Parabola Hyperbola None of the above. View answer 3.
Which shape is defined by the equation (x −
3)2
+ (y + 2)2
= 25? Circle Ellipse Parabola Hyperbola None of the above. View answer 4. Which shape is defined by the equation y = 2x2 −
3?
Circle Ellipse Parabola Hyperbola None of the above. View answer
5. Which equation represents the graph? �
24 + �
29 = 1 �
26 + �
24 = 1 �
216 −
�
236
= 1 �
225 −
�
29 = 1 �
236 + �
216 = 1 View answer 6. Which equation represents the graph?
y = x2 + 1 x = y2 −
3
x = (y −
3)2 −
1 y = 2x2 + 3
x = (y +1)2
+ 3
View answer 7. What is the center of the shape defined by the equation �
29 + �
225 = 1? (0, 0) (3, 0)
(3, 5)
(0, 25)
(9, 25)
View answer 8. What is the vertex (are the vertices) of the shape defined by the equation �
29 + �
225 = 1? (3, 0)
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(3, 0) and (0, -
3)
(0, -
5)
(0, 5) and (0, -5) (3, 5) and (
-
3, -
5)
View answer 9. What is the center of the shape formed by the equation (
�
−3)249
−
(
�
+5)225
= 1? (0, 0)
(-
3, 5)
(3, -5) (9, 25)
(-
9, -
25)
View answer 10. What is the vertex (are the vertices) of the shape formed by the equation (
�
−3)249
−
(
�
+5)225
= 1? (7, 5)
(7, 0) and (
-
7, 0)
(10, -5) and (-4, -5) (0, 5) and (0, -
5)
(3, 0) and (3, -
10)
View answer 11. What is the value of p in the equation y2 = -12x? -12 -4 -3 4 12 View answer 12. What is the directrix of the shape defined by the equation (y −
3)2
= -
12x? x = -
3
y = 0 x = 1 y = 6 x = 3 View answer 13.
What is the focus (are the foci) of the shape defined by the equation �
225 + �
29 = 1? (0, 2) and (0, -
2)
(2, 0) and (
-
2, 0)
(4, 3) and (
-
4, -
3)
(4, 0) and (-4, 0) (0, 4) and (0, -
4)
View answer 14. What is the focus (are the foci) of the shape defined by the equation (
�
+2)225
−
(
�
−1)2144
= 1? (13, 0) and (
-
13, 0))
(-15, 1) and (11, 1) (-
5, 12) and (-
5, 12)
(3, 17) and (1, -
11)
(-
2, 1) and (5, 12)
View answer 15. Which parabola has a vertex at the (0, 3) and opens to the right?
y = x2 + 3
y = -
(x + 3)2
x = y2 −
3
x = (y −
3)2 -
(x + 3)2
= (y −
3)2
View answer 16. What is the equation of the parabola that has a vertex at (1, 2) and a directrix at y = -2? x2 = 8(y + 4)
(x −
1)2 = 16(y −
2) x2 = 24(y −
8)
y2 = 12(x −
4)
y2 = 20(x −
10)
View answer 17. Complete the square to find the equation of the parabola in the problem y = x2 + 6x + 11 in standard form. y = (x + 3)2 + 2 y = (x + 6)2
−
5 y = (x −
3)2
+ 20 y = (x −
6)2
+ 11
y = 6x2 + 9 View answer 18. If the speed of a car with a turbo engine can be modeled as a function of time using the parabolic equation s(t) = 2t2, how many seconds will it take the car to exceed the 65 mph? 4 5 6 7 8 View answer 19. If the orbit of the moon can be modeled using the equation �
263,500
+ �
250,900
= 1, what is the shape of the moon's orbit? Circular Elliptical Parabolic Hyperbolic Longitudinal View answer 20. If the orbit of the moon can be modeled using the equation �
263,500
+ �
250,900
= 1, what is the closest that the moon travels to the center of its orbit? (Note: the denominators of the fractions are in thousands of miles squared)
225,600 miles 231,800 miles
238,900 miles
244,300 miles
252,000 miles
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