document.write( "Question 741897: How do I write an equation for the ellipse with vertices, (-2,0) (-2,-6) (-4,-3) (0,-3) \n" ); document.write( "

Algebra.Com's Answer #452237 by lwsshak3(11628) $\"\"$ $\"About$

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How do I write an equation for the ellipse with vertices, (-2,0) (-2,-6) (-4,-3) (0,-3)
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\n" ); document.write( "Given ellipse has a vertical major axis:
\n" ); document.write( "Its standard form: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given ellipse:
\n" ); document.write( "y-coordinate of center=(0-6)/2=-3(midpoint)
\n" ); document.write( "x-coordinate of center=(-4+0)/2=-2(midpoint)
\n" ); document.write( "center: (-2,-3)
\n" ); document.write( "a=3 (distance from center to vertex on vertical major axis)
\n" ); document.write( "a^2=9
\n" ); document.write( "b=2 (distance from center to end points of minor axis)
\n" ); document.write( "b^2=4
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " $\"%28x%2B2%29%5E2%2F4%2B%28y%2B3%29%5E2%2F9=1\"$ \n" ); document.write( "

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