Identify the type of graph.
-$10 x ^ { 2 } + 60 x + 10 y ^ { 2 } - 20 y = - 99$
A) The graph is the point (-3, 1).
B) The equation has no graph.
C) The graph is a circle with center (-3, 1).
D) The graph is a circle with center (3, -1).

Question

Quizplus · Accepted Answer

The given equation can be rewritten in the standard form of a circle's equation by completing the squares for both x and y terms. Rearranging and completing the squares gives us $(x+3)^2 + (y-1)^2 = 100$, which represents a circle with center (-3, 1).

Identify the Type of Graph 10x2+60x+10y2−20y=−9910 x ^ { 2 } + 60 x + 10 y ^ { 2 } - 20 y = - 9910x2+60x+10y2−20y=−99

Identify the Type of Graph $10 x ^ { 2 } + 60 x + 10 y ^ { 2 } - 20 y = - 99$