Asked by kelsey
write an equation of an ellipse:
Major axis 12 units long and parallel to the y-axis,
Minor axis 8 units long, center at (-2,5)
Major axis 12 units long and parallel to the y-axis,
Minor axis 8 units long, center at (-2,5)
Answers
Answered by
Steve
Surely somewhere in your text there is a highlighted box which states something like:
the formula for an ellipse with semi-major axis a and semi-minor axis b, centered at (h,k) is
(x-h)^2/a^2 + (y-k)^2/b^2 = 1 if a>b
Here, we have b>a, so
(x+2)^2/4^2 + (y-5)^2/6^2 = 1
(x+2)^2/16 + (y-5)^2/36 = 1
the formula for an ellipse with semi-major axis a and semi-minor axis b, centered at (h,k) is
(x-h)^2/a^2 + (y-k)^2/b^2 = 1 if a>b
Here, we have b>a, so
(x+2)^2/4^2 + (y-5)^2/6^2 = 1
(x+2)^2/16 + (y-5)^2/36 = 1
Answered by
thepersonwhoknowstheanswer
the equation i got since im doing conic sections, via ellipises is
(y-5)^2/36+(x+2)^2/16=1
(y-5)^2/36+(x+2)^2/16=1
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