Question 903513
<pre>
Center (0,4) passes through the point (1,4)

(1)   {{{(x-h)^2 + (y-k)^2=r^2}}}

(h,k) = (0,4) so plug those in:

(2)   {{{(x-0)^2 + (y-4)^2=r^2}}}

Now all we need is r<sup>2</sup>

So we plug in (x,y) = (1,4) in (2)

      {{{(1-0)^2 + (4-4)^2=r^2}}}
      {{{1^2 + 0^2=r^2}}}
      {{{1+0=r^2}}}
      {{{1=r^2}}}

So plug in 1 for r<sup>2</sup> in (2) and you have
the answer:

      {{{(x-0)^2 + (y-4)^2=1}}}

or you can just write x<sup>2</sup> instead of (x-0)<sup>2</sup> 

        {{{x^2 + (y-4)^2=1}}}
Edwin</pre>