SOLUTION: Write each function in vertex form then find each of the following to two decimal places. A) Intercepts, B) Vertex, C) Maximum or Minimum, D) Range g(x) = 0.25x^2 - 1.5x-7

Algebra ->  Linear-equations -> SOLUTION: Write each function in vertex form then find each of the following to two decimal places. A) Intercepts, B) Vertex, C) Maximum or Minimum, D) Range g(x) = 0.25x^2 - 1.5x-7      Log On


   

Question 609130: Write each function in vertex form then find each of the following to two decimal places. A) Intercepts, B) Vertex, C) Maximum or Minimum, D) Range
g(x) = 0.25x^2 - 1.5x-7
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

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%2838%29   x-intercepts

 x = 0, then y = -7 , Range is y ≥ -9.5