Ellipse in standard form

[iamsmooth]

Homework Statement

Graph the following:
$$15(x+2)^2 + \frac{(y+3)^2}{4} = 4$$

Homework Equations

$$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$$

The Attempt at a Solution

I can't seem to get both coefficients to 1, since the right side is only 4. If I multiply the whole thing by 4, I can get rid of the denominator on the y term, but then the coefficient of the x jumps to 60, and 60 won't reduce the coefficient to 1. So I'm stuck. Can anyone help? This is not homework, just a practice question that's bugging me...

 

[Filip Larsen]

You want to divide both sides by 4 so that you get a 1 on right hand side. Now you only need to collect the denominators into the form a² and b² and identify what h and k is. If you have trouble with the 15 then notice that multiplying something with 15 is the same as dividing by 1/15.