Question 998813
Equation in standard form of a parabola is {{{y=a(x-h)^2+k}}} having vertex (h,k).  You are given the vertex of a parabola and a point (x,y) on the parabola.


Solve the standard form equation for a, and substitute for your given x, y, h, and k.  Evaluate a.  Then write the specific equation for your parabola using (h,k), and the now found a.


{{{a(x-h)^2=y-k}}}
{{{a=(y-k)/(x-h)^2}}}
{{{a=(-11-(-3))/(3-5)^2}}}
{{{-8/(-2)^2}}}
{{{a=8/4}}}
{{{a=2}}}


RESULT:  {{{highlight(y=2(x-5)^2-3)}}}