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Find the Standard Form of the Equation of the Ellipse (x+1)281+(y+2)24=1\frac { ( x + 1 ) ^ { 2 } } { 81 } + \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1

Question 162

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
vertices: (-1, -11) , (-1, 7) , minor axis of length 2


A) (x+1) 281+(y+2) 24=1\frac { ( x + 1 ) ^ { 2 } } { 81 } + \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1
B) (x+2) 281+(y+1) 24=1\frac { ( x + 2 ) ^ { 2 } } { 81 } + \frac { ( y + 1 ) ^ { 2 } } { 4 } = 1
C) (x+1) 24+(y+2) 281=1\frac { ( x + 1 ) ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 81 } = 1
D) (x2) 281+(y1) 24=1\frac { ( x - 2 ) ^ { 2 } } { 81 } + \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1
E) (x1) 24+(y2) 281=1\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 81 } = 1

Correct Answer:

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