SOLUTION: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph. y=2x-1/4x^2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph. y=2x-1/4x^2      Log On


   

Question 413884: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=2x-1/4x^2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Identify the maximum or minimum (vertex), zeros, and axis of symmetry lin

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

 y = (-1/4)x^2+2x           |Completing the square

 y = -.25(x-4)^2 +4       |Vertex is Pt(4,4)& a Maximum as Parbola opens downward (a< 0)    x = 4, the line of symmetry

 0 = -.25(x-4)^2 +4      x = 4 ħsqrt(16)  x = 4 ħ4  {0,8}