Question 609130
  <pre><font face = "Tohoma Ital" size = 3 color = "indigo"><b> 
Hi
g(x) = 0.25x^2 - 1.5x-7
g(x) = .25(x-3)^2 - 2.5 - 7 = 0
g(x) = .25(x-3)^2 - 9.5   || Vertex(3,-9.5)min,  .25>0, Parabola opens Upward
 .25(x-3)^2 = 9.5 
   (x-3)^2 = 9.5/.25 
     x = 3 ± {{{sqrt(38)}}}   x-intercepts
 x = 0, then y = -7 , Range is y &#8805; -9.5
{{{drawing(300,300,   -10,10,-10,10, blue(line(3,10,3,-10))  , grid(1), 
 grid(1),
graph( 300, 300, -10,10,-10,10,0,0.25x^2 - 1.5x-7))}}}