Find the Standard Form of the Equation of the Ellipse $( - 4,0 )$

question 103

Multiple Choice

Find the standard form of the equation of the ellipse centered at the origin having vertices at $( - 4,0 )$ and $( 4,0 )$ and foci at $( - 1,0 )$ and $( 1,0 )$ .

• A) \(\frac { x ^ { 2 } } { ( \sqrt { 15 } ) ^ { 2 } } + \frac { y ^ { 2 } } { 4 ^ { 2 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { \sqrt { 15 } } = 1\)
• C) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { \sqrt { 17 } } = 1\)
• D) \(\frac { x ^ { 2 } } { \sqrt { 15 } } + \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\frac { x ^ { 2 } } { 4 ^ { 2 } } + \frac { y ^ { 2 } } { ( \sqrt { 15 } ) ^ { 2 } } = 1\)

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