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Ellipse in standard form

  • Thread starter iamsmooth
  • Start date
  • #1
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Homework Statement


Graph the following:
[tex]15(x+2)^2 + \frac{(y+3)^2}{4} = 4[/tex]


Homework Equations


[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]


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...
 

Answers and Replies

  • #2
Filip Larsen
Gold Member
1,255
181
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.
 

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