Question 1108989
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From your post, it looks like you need to gain your knowledge about the subject from the scratch.


See the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Standard-equation-of-a-circle.lesson>Standard equation of a circle</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/General-equation-of-a-circle.lesson>General equation of a circle</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Transform-general-eqn-of-a-circle-to-the-standard-form-by-completing-the-squares.lesson>Transform general equation of a circle to the standard form by completing the squares</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Identify-elements-of-a-circle-given-by-its-general-equation.lesson>Identify elements of a circle given by its general equation</A> 

in this site.


<pre>
    After reading these lessons, it will be clear to you that the citcle has the center at the point (x,y) = (0,2) and the radius of 5 units.


    After reading these lessons, it will be clear to you also that the domain is the set of x   

        -5 <= x <= 5,  or, which is the same, the segment  [-5,5],


    while the range is the set of y

        -5 <= y-2 <= 5,   or which is the same,  -3 <= y <= 7,  the segment  [-3,7].
</pre>

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Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic 
"<U>Conic sections: Ellipses. Definition, major elements and properties. Solved problems</U>".



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<U>Comment from student</U>: &nbsp;&nbsp;Thank you. &nbsp;So if it was like &nbsp;(x+1)^2 + (y-4)^2 = 169, &nbsp;domain = [-14,12] &nbsp;and &nbsp;range = [-9, 17] &nbsp;right? 



<U>My response</U>:  &nbsp;&nbsp;Right, &nbsp;correct.