Transformations of functions

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = x + 8: translation 6 units left.

• g(x) = x + 2

• g(x) = x + 14

• g(x) = 6x + 8

• g(x) = -6x - 48

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = 2x + 3: translation 4 units right

• g(x) = 2x - 5

• g(x) = 2x + 7

• g(x) = 2x -1

• g(x) = 8x + 12

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; translation 4 units down

• g(x) = |3x - 5| +10

• g(x) = |3x - 9| + 6

• g(x) = |3x - 5| +2

• g(x) = |3x - 1|+ 6

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; reflection in x - axis

• g(x) = - |3x - 5| - 6

• g(x) = - | 3x +5| + 6

• g(x) = | -3x +5| - 6

• g(x) = | -3x - 5| + 6

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; reflection in y -axis

• g(x) = |3x - 5| + 6

• g(x) = | 3x + 5| + 6

• g(x) = - |3x - 5| - 6

• g(x) = - |3x - 5| + 6

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; vertical stretch by a factor of 4

• g(x) = |12x - 20| + 24

• g(x) = 4 |3x - 5| + 24

• g(x) = (1/4) |3x - 5| + (6/4)

• g(x) = |(3/4)x - 5| + 6

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = |3x - 5| + 6; horizontal stretch by a factor of 4

• g(x) = |12x - 5| + 6

• g(x) = |12x - 20| + 24

• g(x) = |(3/4)x - 5| + 6

• g(x) = |(3/4)x - 5| + (6/4)

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = 2x + 8; horizontal stretch by a factor of 1/4

• g(x) = (1/2)x + 8

• g(x) = (1/2)x + 2

• g(x) = 8x + 32

• g(x) = 8x + 8

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = 2x + 8; horizontal shrink by a factor of 1/4

• g(x) = 8x + 32

• g(x) = 8x + 8

• g(x) = (1/2)x + 2

• g(x) = (1/2)x + 8

Write a function g whose graph represents the indicated transformation of the graph of f.

f(x) = 2x + 8; vertical shrink by a factor of 1/4

• g(x) = (1/2)x + 2

• g(x) = (1/2)x + 8

• g(x) = 8x + 32

• g(x) = 8x + 8