Question 983860
This way of showing generalized standard form if parallel to the x-axis:
{{{x-h=a(y-k)^2}}}


You will use the point (7,1) to find a, and also use the given vertex h=2, k=5.
{{{a(y-k)^2=x-h}}}
{{{a=(x-h)/(y-k)^2}}}
{{{a=(7-2)/(1-5)^2}}}
{{{a=5/(-4)^2}}}
{{{a=5/16}}}


Put in the values into the form:
{{{highlight(x-2=(5/16)(y-5)^2)}}}  or if you want,  {{{highlight(x=(5/16)(y-5)^2+2)}}}.