Using vertex form we can translate the graph of x^2 where we want it. In this case, the parent function of the quadratic equation has been moved right one and three down. We can use the vertex form of a parabola to find the correct equation:
[tex]y = a(x-h)^2+k [/tex]
where (x,h) is the vertex.
Subbing in the points, we can find that the equation of the parabola is :
[tex]y = (x-1)^2-3[/tex]
