SOLUTION: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph. y=-3x^2-6x+5

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=-3x^2-6x+5      Log On


   



Question 413889: Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the graph.
y=-3x^2-6x+5

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 = -3x^2-6x+5 |Completing the square
y = -3(x+1)^2 + 8 |Vertex is Pt(-1,8)& a Maximum as Parbola opens downward (a< 0)
0 = -3(x+1)^2 + 8 8/3 = (x+1)^2 x = -1 ± 2sqrt(2/3) {.633, -2.633}