Identify the type of graph.
-$$\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 9 } = 1$$
A) The graph is a circle with center at (9, 9) .
B) The graph is a circle with center at (3, 3) .
C) The graph is a circle with center at (0, 0) .
D) The graph is an ellipse with foci on the x-axis .

Question

Quizplus · Accepted Answer

The equation $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 9 } = 1$ represents a circle with a radius of 3 and center at (0, 0), because both x and y are squared and have the same coefficient in the denominator, indicating a circle, not an ellipse, and the equation is in the standard form of a circle $\frac{x^2}{r^2} + \frac{y^2}{r^2} = 1$ with center at the origin (0,0).

Identify the Type of Graph x29+y29=1\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 9 } = 19x2​+9y2​=1

Identify the Type of Graph $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 9 } = 1$