NOTES: y = a|x - h| + k
Vertex = (h, k)
AOS: x = h
Domain: x = All Real Numbers (-∞, ∞)
Range: if "a" is positive → y ≥ k
      if "a" is negative → y ≤ k
Comparison to Parent Function: "a" is vertical stretch
                           "h" is horizontal shift (left, right)
                            "k" is vertical shift (up, down)
Graph: Plot the vertex
Plot a point to the right by counting rise over run using the "a"-value
Plot a point to the left by counting rise over run using opposite of "a"-value
********************************************************************************************
4. f(x) = 3|x - 5| + 2
  a = 3   h = 5    k = 2
  Vertex: (5, 2)    AOS: x = 3
  Domain: x = ARN (-∞, ∞)  Range: y ≥ 2
  Comparison to Parent Function:
vertical stretch by a factor of 3horizontal shift 5 units to the rightvertical shift 2 units up
  Graph: see attachment 1
*******************************************************************************************
  a =   h = -4    k = -3
  Vertex: (-4, -3)    AOS: x = -4
  Domain: x = ARN (-∞, ∞)  Range: y ≤ -3
  Comparison to Parent Function:
reflection over the x-axisvertical shrink by a factor of 1/2horizontal shift 4 units to the leftvertical shift 3 units down
  Graph: see attachment 2
********************************************************************************************
6. f(x) = -4|x - 3|
  a = -4   h = 3    k = 0
  Vertex: (3, 0)    AOS: x = 3
  Domain: x = ARN (-∞, ∞)  Range: y ≤ 0
  Comparison to Parent Function:
reflection over the x-axisvertical stretch by a factor of 4horizontal shift 3 units to the right
  Graph: see attachment 3