I am having trouble with a question on analytical geometry and would appreciate some assistance.
The question is : A unit circle is stretched in the horizontal direction by a factor of 2 and in the vertical direction by a factor of 3 to form an ellipse.
Find the equation of the ellipse in cartesian and parametric form ?
I have (x/2)^2 + (y/3)^2 = 1 ( cartesian )
x = 2 cos theta and y = 3 sin theta
Are these correct ?
I then have to translate the ellipse by vector ( 3, -4 ) I think I have achieved this but am having trouble stating the new cartesian and parametric equations.
I would appreciate any assistance.