Question 816756
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
y = 4x^2 - 24x + 40   | x = 0, y = 40
y = 4(x-3)^2 - 36 + 40   |Completing Square: y = 4x^2 - 24x +36  - 36+ 40
  vertex form of a parabola, {{{y=a(x-h)^2 +k}}} where(h,k) is the vertex 
y = 4(x-3)^2 +4   V(3,4), Parabola Opening Upward a = 4 >0, does not cross x-axis 
{{{drawing(300,300,   -10,10,-10,100,  
 grid(1),
circle(3, 4,0.4),
circle(0, 40,0.4),
graph( 300, 300, -10,10,-10,100,0,4x^2 - 24x + 40  ))}}}