Answer:
[tex](x - 3) ^{2} + (y + 2)^{2} = 4[/tex]
Step-by-step explanation:
The standard form of the equation of a circle can be written as:
[tex](x - h)^{2} + (y - k)^{2} = r^{2} [/tex]
where (h, k) is the point of the center of the circle and r is the radius of the circle.
Take note that we do not need to expand the equation. After substituting, we just have to simplify the right side.
[tex](x - 3) ^{2} + (y - ( - 2))^{2} = (2)^{2} [/tex]
[tex](x - 3)^{2} + (y + 2)^{2} = 4[/tex]
In writing lines and circles in standard form, always remember its template or formula.
Hope this helps!
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