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(Solved): Write the equation of the ellipse in standard form that has vertices at \( (-5,3) \) and \( (1,3) \ ...
Write the equation of the ellipse in standard form that has vertices at \( (-5,3) \) and \( (1,3) \) and foci at \( (-3,3) \) and \( (-1,3) \) a.) \( \frac{(x+2)^{2}}{9}+\frac{(y-3)^{2}}{8}=1 \) b.) \( \frac{(x-2)^{2}}{9}+\frac{(y+3)^{2}}{1}=1 \) c.) \( \frac{(x+2)^{2}}{8}+\frac{(y-3)^{2}}{9}=1 \) d.) \( \frac{(x-2)^{2}}{8}+\frac{(y+3)^{2}}{9}=1 \)
Expert Answer
let the standard equation of ellipse is (x?h)2a2+(y?k)2b2=1 where (h,k)is center and (a,b) are lengths of the semi major and semi minor axes.