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Question

(x-2)^2/8+(y+1)^2=1 find the equation in standard form of ellipse with specified features hhhhhhbbbbbhh-

Answer 1

standard form for an equation of an ellipse is

(x-h)^2/b^2 + (y-k)^2/a^2 = 1

where (h,k) is the center of the ellipse and

a and b are the semi-axes of the ellipse

(x-2)^/(sqr8)^2 + (y- -1)^2/(1)^2 = 1

center is (2,-1),

horizontal semi-axis = sqr8 = 2sqr2 = about 2(1.414) = about 2.828

vertical semi-axis = 1

vertically from top of the ellipse to the bottom = 2

horizontally from the far right end of the ellipse to the far left end = 4sqr2 = about 5.656