Question 1053792

Determine the quadratic function f whose graph is given.  
The vertex is left parenthesis 4 comma negative 1 right parenthesis(4,−1) and the  other given point is left parenthesis 3 comma 1 right parenthesis .(3,1).
<pre>Vertex form of a parabolic equation: {{{y = a(x - h)^2 + k}}}
{{{1 = a(3 - 4)^2 + - 1}}} ------- Substituting (4, - 1) for (h, k), and (3, 1) for (x, y)
{{{1 = a(- 1)^2 - 1}}}
1 = a - 1
2 = a
Quadratic function: {{{highlight_green(f(x) = 2(x - 4)^2 - 1)}}}