Given the vertices of ∆abc are a (2,-5), b (-4,6) and c (3,1), find the vertices following each of the transformations from the original vertices: a. rx = 3 b. t< 3,-6> c. r(90◦, o)

a. Translation right by 3 units means (x, y)⇒ (x+3, y). Your image points are
  A' = (2+3, -5)
  A' = (5, -5)
  B' = (-4+3, 6)
  B' = (-1, 6)
  C' = (3+3, 1)
  C' = (6, 1)

b. Translation by <3, -6> means (x, y) ⇒ (x+3, y-6). Your image points are
  A' = (5, -11)
  B' = (-1, 0)
  C' = (6, -5)

c. Rotation CCW by 90° means (x, y) ⇒ (-y, x). Your image points are
  A' = (5, 2)
  B' = (-6, -4)
  C' = (-1, 3)

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Do you need with the x value for the minimum? its always between the two intercepts for a parabola