Question 880339
Standard equation for vertices (plus or minus 9,0); foci (plus or minus 6 square root 2,0)
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Given data is for an ellipse with horizontal major axis and center at the origin.
Its standard form of equation: {{{x^2/a^2+y^2/b^2=1}}}, a>b
length of major axis=18=2a
a=9
a^2=81
c=6√2
c^2=72
c^2=a^2-b^2
b^2=a^2-c^2=81-72=9
equation: {{{x^2/81+y^2/9=1}}}