Question 828410
Write the standard form equation of each ellipse given
Center (-3,3)
Vertex (-10,3)
C^2= 33
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Given data shows this is an ellipse with horizontal major axis.
Its standard form of equation: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}, a>b, (h,k)=(x,y) coordinates of center.
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a=7 (distance from center to vertices)
a^2=49
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c^2=a^2-b^2
b^2=a^2-c^2=49-33=16
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equation:
{{{(x+3)^2/49+(y-3)^2/16=1}}}