Question 419649
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b>
Hi
y = -2x^2+4x+2    |Note use of ^ for squared term
 y-intercept (when x = 0)  Pt(0,2)

y= -2(x-1)^2 + 4    |completing the square  Vertex Pt(1,4)
 x-intercept (when y = 0)
 -2(x-1)^2 + 4 =0
   (x-1)^2 = 2
   x = 1 ± sqrt(2)  Pt(2.414,0) and Pt(-.414,0) the x-intercepts
{{{drawing(300,300,   -6, 6, -6, 6,  grid(1),
circle(0, 2,0.3),
circle(-.414,0,0.3),
circle(2.414, 0,0.3),
circle(1, 4,0.3),
graph( 300, 300, -6, 6, -6, 6,0, -2x^2+4x+2))}}}