Question 46730
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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.



<pre>
The original graph is for equation  {{{x^2}}} + {{{y^2}}} = 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

    {{{(x-4)^2}}} + {{{(y-5)^2}}} = 9.    <U>ANSWER</U>
</pre>

Solved correctly.


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