um.. I am having trouble with a question I started some work and then I am not sure if I am doing it right! and if I am I don't know what to do next!:confused:
anyways here is the question that stumps me!
An ellipse is formed by strecthing the grapgh of x^2+ y^2=1 horizontally by a factor of 3 and vertically by a factor of 4. Determine the equation of this ellipse in standard form.
so my work:
x^2/9 + y^2/16=1
am I going on the right track or am I totally off? if I am doing this right were do I go from here?
Originally Posted by cutie4ever
The radius is 1 of the circle.
If you stretch the x-axis by 3 you then have a semi-axis along x to be 3. Similarly for the y axis.
In that case the equation of the ellipse is,
If a is the width of the elipse, and b is the height, the elipse equation is .