Question 464952
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
Using the vertex form of a parabola, {{{y=a(x-h)^2 +k}}} where(h,k) is the vertex
f(x) =2x^2-12x+13 | Completing square to put into vertex form
f(x) = 2[(x-3)^2-9]+13
f(x) = 2(x-3)^2 - 5 |V(3,-5), a = 2 > 0, parabola opens upward, vertex a min Pt
x = 3, line of symmetry
{{{drawing(300,300,   -10,10,-10,10, blue(line(3,10,3,-10))    grid(1),
circle(3, -5,0.4),
graph( 300, 300, -10,10,-10,10,0, 2x^2-12x+13 ))}}}