Identify the center and intercepts of the conic section. Then find the domain and range.
graph of ellipse
A graph with horizontal axis x from left to right labeled at negative 8 comma negative 6 comma negative 4 comma negative 2 comma 2 comma 4 comma 6 comma 8; vertical axis y labeled from top to bottom 8 comma 6 comma 4 comma 2 comma negative 2 comma negative 4 comma negative 6 comma negative 8.
Ellipse with radius 3 units and points:
left parenthesis negative 3 comma 0 right parenthesis comma
left parenthesis 3 comma 0 right parenthesis
left parenthesis 0 comma 5 right parenthesis comma
left parenthesis 0 comma negative 5 right parenthesis
(1 point)
Responses
The center of the ellipse is (0, 0).
The x-intercepts are (0, 5) and (0, –5).
The y-intercepts are (–3, 0) and (3, 0).
The domain is {x | –3 ≤ x ≤ 3}.
The range is {y { –5 ≤ y ≤ 5}.
The center of the ellipse is (0, 0). The x -intercepts are (0, 5) and (0, –5). The y -intercepts are (–3, 0) and (3, 0). The domain is {x | –3 ≤ x ≤ 3}. The range is { y { –5 ≤ y ≤ 5}.
The center of the ellipse is (0, 0).
The x-intercepts are (–3, 0) and (3, 0).
The y-intercepts are (0, 5) and (0, –5).
The domain is {x | –3 ≤ x ≤ 3}.
The range is {y { –5 ≤ y ≤ 5}.
The center of the ellipse is (0, 0). The x -intercepts are (–3, 0) and (3, 0). The y -intercepts are (0, 5) and (0, –5). The domain is {x | –3 ≤ x ≤ 3}. The range is { y { –5 ≤ y ≤ 5}.
The center of the ellipse is (0, 0).
The x-intercepts are (0, 5) and (0, –5).
The y-intercepts are (–3, 0) and (3, 0).
The domain is {y { –5 ≤ y ≤ 5}.
The range is {x | –3 ≤ x ≤ 3}.
The center of the ellipse is (0, 0). The x -intercepts are (0, 5) and (0, –5). The y -intercepts are (–3, 0) and (3, 0). The domain is { y { –5 ≤ y ≤ 5}. The range is {x | –3 ≤ x ≤ 3}.
The center of the ellipse is (0, 0).
The x-intercepts are (0, 5) and (0, –5).
The y-intercepts are (–3, 0) and (3, 0).
The domain is {y { –5 ≤ y ≤ 5}.
The range is {x | –3 ≤ x ≤ 3}.
The correct response is:
The center of the ellipse is (0, 0).
The x-intercepts are (–3, 0) and (3, 0).
The y-intercepts are (0, 5) and (0, –5).
The domain is {x | –3 ≤ x ≤ 3}.
The range is {y | –5 ≤ y ≤ 5}.