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 413888: 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 Minimum as Parbola opens upward (a> 0) x=1, the line of symmetry
0 = (x-1)^2 -4 4 = (x-1)^2 x = 1 ± 2 {-1,3}