Question

Determine the equation of the graph and select the correct answer below.

Answer 1

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:
$y = a(x-h)^2+k$
where (x,h) is the vertex.
Subbing in the points, we can find that the equation of the parabola is :
$y = (x-1)^2-3$