SOLUTION: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph. y=-x^2+2x+3

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=-x^2+2x+3      Log On


   



Question 413885: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=-x^2+2x+3

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 = -x^2+2x+3 |Completing the square
y = -(x-1)^2 +4 |Vertex is Pt(1,4)& a Maximum as Parbola opens downward(a> 0) x = 1, the line of symmetry
0 = -(x-1)^2 + 4 4 = (x-1)^2 x = 1 ± 2 {-1,3}