Question 394709
   <pre><font size = 3 color = "indigo"><b>
Hi
the vertex form of a parabola, {{{y=a(x-h)^2 +k}}} where(h,k) is the vertex
{{{f(x)=2x^2-12x+8}}}  |completing square
{{{f(x)=2((x-3)^2 - 9) + 8}}}
{{{f(x)=2(x-3)^2 - 10}}}  Vertex Pt(3,-10), Line of symmetry is x = 3
Vertex is a minimum value, parabola open upward (a>0) 

{{{drawing(300,300, -15,15,-15,15,blue(line(3,15,3,-15)),    grid(1),
circle(3, -10,0.6),
graph( 300, 300, -15,15,-15,15,2x^2-12x+8))}}}