Find the Standard Form of the Equation of the Ellipse $\frac { ( x + 2 ) ^ { 2 } } { 64 } + \frac { ( y + 4 ) ^ { 2 } } { 16 } = 1$

question 1

Multiple Choice

Find the standard form of the equation of the ellipse satisfying the given conditions.
-Endpoints of major axis: (-10, -4) and (6, -4) ; endpoints of minor axis: (-2, -8) and (-2, 0)

• A) \(\frac { ( x + 2 ) ^ { 2 } } { 64 } + \frac { ( y + 4 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( x + 4 ) ^ { 2 } } { 16 } + \frac { ( y + 2 ) ^ { 2 } } { 64 } = 1\)
• C) \(\frac { ( x - 2 ) ^ { 2 } } { 64 } + \frac { ( y - 4 ) ^ { 2 } } { 16 } = 0\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 64 } + \frac { ( y - 4 ) ^ { 2 } } { 16 } = 1\)

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