Find the Standard-Form Equation of the Ellipse Centered at the Origin

question 20

Multiple Choice

Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.
-An ellipse with intercepts $( \pm 4,0 )$ and $( 0 , \pm 2 )$

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

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