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anonymous
 one year ago
What is the equation of the following graph?
anonymous
 one year ago
What is the equation of the following graph?

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3that is a traslated ellipse

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3as you can see from the graph, the center of our ellipse is located at (0,2)

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3no, since we have to make a traslation

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3let's consider a new coordinate system X,Y located at point (0,2), namely at the center of your ellipse

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3with respect to the XY system the equation of our ellipse is: \[\Large \frac{{{X^2}}}{1} + \frac{{{Y^2}}}{9} = 1\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3here is the situation of your exercise: dw:1439652920237:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3oops.. I made a typo, the center of our ellipse is located at poin (0,2)

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3and the equations of our traslation are: \[\Large \left\{ \begin{gathered} x = X \hfill \\ y = Y  2 \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3now, please solve that system for X, and Y, what do you get?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3hint: we have this: \[\Large X = x\] right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what you want to know?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3ok! now do the same, namely write Y as a function of y, please

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3\[\Large Y = y + 2\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3next, replace X with x, and Y with y+2 into my equation above

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3namely into this equation: \[\Large \frac{{{X^2}}}{1} + \frac{{{Y^2}}}{9} = 1\] what equation do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0idk im lost again..im glad im going over this other wise i would have gotten this wrong

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3hint: \[\Large \frac{{{x^2}}}{1} + \frac{{{{\left( {y + 2} \right)}^2}}}{9} = 1\] is it right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3that is the requested equation

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0For shifted one, you need center (h, k), the way to find out a, b as what we had done before. The way a goes with major axis is the same. Just the numerators change to (xh) ^2 and (yk)^2. Dat sit.
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