Identify the type of graph.
-$$\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 64 } = 1$$
A) The graph is an ellipse with foci on the $x$-axis
B) The graph is a circle with center at $( 0,0 )$.
C) The graph is a circle with center at $( 64,64 )$.
D) The graph is a circle with center at $( 8,8 )$.

Question

Quizplus · Accepted Answer

The equation $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 64 } = 1$ is a special case of an ellipse where the semi-major and semi-minor axes are equal, making it a circle. The equation simplifies to $x^2 + y^2 = 64$, which is a circle with a radius of $8$ and centered at the origin $(0,0)$.

Identify the Type of Graph x264+y264=1\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 64 } = 164x2​+64y2​=1

Identify the Type of Graph $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 64 } = 1$