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Determine the Two Equations Necessary to Graph the Ellipse with a Graphing

Question 143

Multiple Choice

Determine the two equations necessary to graph the ellipse with a graphing calculator.
- x264+(y−2) 281=1\frac { x ^ { 2 } } { 64 } + \frac { ( y - 2 ) ^ { 2 } } { 81 } = 1


A) y=95184−4x216y = \frac { 9 \sqrt { 5184 - 4 x ^ { 2 } } } { 16 } and y=−95184−4x216y = - \frac { 9 \sqrt { 5184 - 4 x ^ { 2 } } } { 16 }

B) y=16−964−x28y = \frac { 16 - 9 \sqrt { 64 - x ^ { 2 } } } { 8 } and y=964−x2+168y = \frac { 9 \sqrt { 64 - x ^ { 2 } } + 16 } { 8 }

C) y=5440−81x28y = \frac { \sqrt { 5440 - 81 x ^ { 2 } } } { 8 } and y=−5440−81x28y = - \frac { \sqrt { 5440 - 81 x ^ { 2 } } } { 8 }

D) y=256−81x28y = \frac { \sqrt { 256 - 81 x ^ { 2 } } } { 8 } and y=−256−81x28y = - \frac { \sqrt { 256 - 81 x ^ { 2 } } } { 8 }

Correct Answer:

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