SOLUTION: The graph of xsquare unit +y square unit =9 is translated 4 units to hte right and 5 units up. Find the equation of the new circle.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The graph of xsquare unit +y square unit =9 is translated 4 units to hte right and 5 units up. Find the equation of the new circle.      Log On


   



Question 46730: The graph of xsquare unit +y square unit =9 is translated 4 units to hte right and 5 units up. Find the equation of the new circle.
Found 2 solutions by consc198, ikleyn:
Answer by consc198(59) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is (4x,5y)

Answer by ikleyn(53904) About Me  (Show Source):
You can put this solution on YOUR website!
.
The graph of x square unit +y square unit =9 is translated 4 units to hte right and 5 units up.
Find the equation of the new circle.
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        The answer in the post by @consc198 is incorrect and irrelevant.
        See the correct solution in my post below.


The original graph is for equation  x%5E2 + y%5E2 = 9.


It is the graph of the circle of the radius 3 units centered at the beginning of the coordinate system.


After translation described in the post, it becomes the circle of the radius 3 units centered at the point (4,5).


The standard equation of such translated circle is

    %28x-4%29%5E2 + %28y-5%29%5E2 = 9.    ANSWER

Solved correctly.

As usual, the "solution" b y @consc198 has nothing in common with the truth
and is inacceptable to teach students.