Answer:
[tex](x-1)^2 + (y+4)^2 = 100\\\\[/tex]
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Work Shown:
[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\[/tex]
You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.
