What is the equation of the following graph

Question

anonymous · Answer

attachment

anonymous · Answer

That is an ellipse. It depends on what you want to call your major axis and what you want to call your minor axis but in the end you'll still get the same thing when you simplify. For a > b: $$\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$ http://www.mathwarehouse.com/ellipse/equation-of-ellipse.php

anonymous · Answer

The only trick here is that you need to choose your a & b (major & minor axes) wisely.  In this case it's very obvious that it's stretched out horizontally.

anonymous · Answer

@agentx5 how do i determine the numbers?? i dont get that

anonymous · Answer

Solving for Y:
$$y=\pm b\sqrt{1-(\frac{x}{a}})^2 $$

If you have like a TI-84 graphing calculator you can now graph this and see
You're have to enter as two almost-identical equations, one positive, one negative:
$$y=  (2) \sqrt{1-(\frac{x}{9}})^2 $$
$$y=  -(2) \sqrt{1-(\frac{x}{9}})^2 $$

anonymous · Answer

See what you get ;-)

anonymous · Answer

Remember, your major axis is from the center to the furthest two points, the largest diameter possible if you will.  The minor axis is he shortest diameter possible (again must go through the center).  The center for you here in this problem is exactly on the origin.  That was nice of them.  If they wanted to make it harder they could have made it not centered or partly rotated/turned the ellipse.  ;-)

anonymous · Answer

@4everjames  Have you graphed those yet?