Question 949123
Use the process discussed here for standard form:


<a href="http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev">http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev</a>


Do what you need for both the x and the y.


Read the center point and the radius directly from the standard form equation.


You can find the axis intercepts without or before converting the equation into standard form.  Just set x=0 and solve for the y values; and then set y=0 and solve for the x values.  




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{{{highlight((x+4)^2+(y+1)^2=3^2)}}}


{{{graph(300,300,-8,2,-5,5,-1+sqrt(9-(x+4)^2),-1-sqrt(9-(x+4)^2))}}}


Center is at (-4,-1).