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Quadratics (Roots (No real roots: b^2-4ac < 0, 2 same real roots: b^2…

- - - - Vertex Form (By completing the square): y = a(x-h)^2 + k
        
        (h,k) gives vertex
      - Factored form (by factoring): y = a(x-s)(x-t)
        
        Gives roots
  - - - Symmetrical
        
        axis of symmetry is down the middle
        
        x = h
        
        average of x values for the same y-coordinates
      - if a value is positive, parabola is concave up
      - if a value is negative, parabola is concave down
      - Has stretch factor of a
        
        Vertical stretch when a > 1
        
        Vertical compression when 0 < a < 1
  - - - Optimal value
        
        K value of vertex
        
        max or min
  - - - If 2nd diff are negative, parabola is concave down
      - if 2nd diff are positive, parabola is concave up