Analyze Transformations and Piece-Defined Functions

Describe the transformation from the parent function:

• Shifted up 7

• Shifted down 7

• Shifted left 5

• Shifted right 5

Describe the transformation from the parent function:

• Shifted left 6

• Shifted right 6

• Shifted up 2

• Shifted down 2

• Flipped upside down

What is the cost to ship a 13lb item?

• A

  0

• B

  15

• C

  18

• D

  25

What is the cost to ship a 7lb item?

• A

  0

• B

  15

• C

  18

• D

  25

Using the pictured graph, what is f(-3)?

• A

  -3

• B

  -1

• C

  1

• D

  3

What is the cost to ship a 12lb item?

• A

  0

• B

  15

• C

  18

• D

  25

Describe the transformation.

• up 3

• down 3

• left 3

• right 3

Describe the transformation that is applied to the parent function. f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4

• f(x) = { x  if x ≤ 4;  -x+1  if x > 4

• f(x) = { -x+1  if x < 4;  x  if x ≥ 4

• f(x) = { -x+1  if x ≤ 4;  x if x > 4

What is f(6)?

• 20

• 33

• 3

• 3, -3