Write the equation of an ellipse given the length of the major and minor axis

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Mathematics
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9th - 10th Grade
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of the equation for an ellipse with a horizontal major axis?
(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1
(x + h)^2 / b^2 + (y + k)^2 / a^2 = 1
(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1
(x + h)^2 / a^2 + (y + k)^2 / b^2 = 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the center of an ellipse is at (2, -3), how would you represent the x-part of the equation?
(x - 3)^2
(x - 2)^2
(x + 3)^2
(x + 2)^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given a major axis length of 8, what is the value of 'a' for the ellipse?
16
2
8
4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the minor axis length is 4, what is the value of 'b' for the ellipse?
1
2
4
8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final equation of the ellipse with a center at (2, -3), a major axis length of 8, and a minor axis length of 4?
(x - 2)^2 / 4 + (y + 3)^2 / 16 = 1
(x - 2)^2 / 16 + (y + 3)^2 / 4 = 1
(x + 2)^2 / 4 + (y - 3)^2 / 16 = 1
(x + 2)^2 / 16 + (y - 3)^2 / 4 = 1
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