Question 730765
How?  Just solve the equation for x in terms of y.  
Your question is now edited.  Equation was written in the belief you wanted y squared and the exponential symbol was present but no exponent shown.


{{{4x=y^2+2y+13}}}
{{{x=(1/4)y^2+(1/2)y+13/4}}}
Note that the axis of symmetry is horizontal and the parabola opens to the right.