Identify the center and intercepts of the conic section. Then find the domain and range.
graph of circle intercepts six
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.
Circle with radius 6 units and points:
left parenthesis negative 6 comma 0 right parenthesis comma
left parenthesis 6 comma 0 right parenthesis
left parenthesis 0 comma 6 right parenthesis comma
left parenthesis 0 comma negative 6 right parenthesis
(1 point)
Responses
The center of the circle is (6, 6).
The x-intercepts are (6, 0) and (–6, 0).
The y-intercepts are (0, 6) and (0, –6).
The domain is {y | 6 ≤ y ≤ –6}.
The range is {x | 6 ≤ x ≤ –6}.
The center of the circle is (6, 6). The x-intercepts are (6, 0) and (–6, 0). The y-intercepts are (0, 6) and (0, –6). The domain is { y | 6 ≤ y ≤ –6}. The range is { x | 6 ≤ x ≤ –6}.
The center of the circle is (6, 6).
The x-intercepts are (6, 0) and (–6, 0).
The y-intercepts are (0, 6) and (0, –6).
The domain is {x | –6 ≤ y ≤ 6}.
The range is {y | –6 ≤ x ≤ 6}.
The center of the circle is (6, 6). The x-intercepts are (6, 0) and (–6, 0). The y-intercepts are (0, 6) and (0, –6). The domain is { x | –6 ≤ y ≤ 6}. The range is { y | –6 ≤ x ≤ 6}.
The center of the circle is (0, 0).
The x-intercepts are (6, 0) and (–6, 0).
The y-intercepts are (0, 6) and (0, –6).
The domain is {x | –6 ≤ x ≤ 6}.
The range is {y | –6 ≤ y ≤ 6}.
The center of the circle is (0, 0). The x-intercepts are (6, 0) and (–6, 0). The y-intercepts are (0, 6) and (0, –6). The domain is { x | –6 ≤ x ≤ 6}. The range is { y | –6 ≤ y ≤ 6}.
The center of the circle is (0, 0).
The x-intercepts are (6, 0) and (–6, 0).
The y-intercepts are (0, 6) and (0, –6).
The domain is {y | 6 ≤ y ≤ –6}.
The range is {x | 6 ≤ x ≤ –6}.
The correct answer is:
The center of the circle is (0, 0).
The x-intercepts are (6, 0) and (–6, 0).
The y-intercepts are (0, 6) and (0, –6).
The domain is {x | –6 ≤ x ≤ 6}.
The range is {y | –6 ≤ y ≤ 6}.