Answer:
Since the circle touches the x-axis, then its radius is equal to 4. The general equation of a circle with center (h, k) and radius r is given by:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Therefore, the answer is [tex](x-3)^{2} +(y-4)^{2} =16[/tex]