Choose the Equation That Matches the Graph $\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 49 } = 1$

question 544

Multiple Choice

Choose the equation that matches the graph.
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• A) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 49 } = 1\)
• B) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 49 } = 1\)
• C) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 16 } = 1\)

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Definitions:

Vertex

The point where two lines, or edges, of a geometric figure meet; in the context of a parabola, the peak or the lowest point, depending on its orientation.

Circle

A round plane figure, every point of which is equidistant from a fixed center point, defined by the equation (x-h)^2 + (y-k)^2 = r^2 in a coordinate plane.

Radius

The distance from the center of a circle to any point on its circumference.

Center

In geometry, the central point of a circle or sphere, equidistant from all points on the perimeter or surface.