Question 1142478

How do I determine the quadratic equation when the vertex is (3,-4) and the given point is (2,1)?
<pre>Vertex form of a quadratic function: {{{matrix(1,3, y, "=", a(x - h)^2 + k)}}}
                                     {{{matrix(1,3, 1, "=", a(2 - 3)^2 + - 4)}}} ------- Substituting (3, - 4) for (h, k), and (2, 1) for (x, y)
                                     1 = a - 4 ====> a = 5
                                     Quadratic equation: {{{highlight_green(matrix(1,3, y, "=", 5(x - 3)^2 - 4))}}}