Question 887457
Vertex form and standard form are the same thing.


The basic idea is to use the given data and use {{{y=a(x-h)^2+k}}} for the vertex (h,k).  The point being "passed through" helps to get the value of a.


You do like this:

Vertex (h,k) passing through (u,v).
{{{highlight_green(y=a(x-h)^2+k)}}}, and you want to find a.
{{{a(x-h)^2=y-k}}}
{{{a=(y-k)/(x-h)^2}}}
Substitute the given point
{{{highlight_green(a=(v-k)/(u-h)^2)}}}, and compute if using unvaried given numbers for v,u, k and h.
Finish writing the equation with the found and now known values for a, h, and k.