PC 1.7

Compare the graph with its parent function:
g(x) = |x+4| + 8

• left 8
  up 4
• right 4
  up 8
• left 4
  up 8
• right 8
  up 8

Compare the graph with its parent function:
p(x) = -(x+1)² - 10

• reflect x axis
  left 1
  down 10
• reflect x-axis
  right 1
  down 10
• reflect y-axis
  left 1
  down 10
• reflect x-axis
  left 1
  up 10 

Compare the graph with its parent function:

f(x) = (-2x)³ + 1

• Horizontal Shrink

  Reflect across y-axis

  Up 1

• Horizontal Stretch

  Up 1

• Vertical Shrink

  Up 1

• Vertical Stretch

  Reflect across y-axis

  Up 1

Compare the graph with its parent function:
k(x) = 2 - 0.5 √ (x+6)

• down 2
  vertical shrink
  left 6
• up 2
  reflect x-axis
  vertical shrink
  left 6
• up 2
  reflect y-axis
  vert. stretch
  left 6 
• up 2
  reflect x-axis
  vert. stretch
  right 6

For a vertical stretch / shrink of some number 'c', each point on the parent function changes.  Describe the change in ordered pair. 

• (x,  y*c)
• (x,  y/c)
• (x*c,  y)
• (x/ c,  y)

For a horizontal stretch / shrink of some number 'c', each point on the parent function changes.  Describe the change in ordered pair. 

• (x,  y*c) 
• (x,  y/c) 
• (x*c,  y) 
• (x/ c,  y) 

• (0, -1)          (1/2,  0)
  (3/2, 0)         (2, 2) 
• (0, -1/2)          (1,  0)
  (3, 1/2)         (4, 1) 
• (0, -1/2)          (1/2, 0)
  (3/2, 1/2)         (2, 1)