Linear Transformations

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= 5x + 1, horizontal translation right 7 units

• g(x)= 5x - 34

• g(x)= 5x + 36

• g(x)= 5x + 8

• g(x)= 5x - 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 3x + 6, vertical translation up 9 units

• g(x)= - 3x - 21

• g(x)= - 3x + 15

• g(x)= - 3x + 33

• g(x)= - 3x - 3

Tags

CCSS.HSF.BF.B.3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 8x - 3, vertical translation down 5 units

• g(x)= - 8x - 8

• g(x)= - 8x + 2

• g(x)= - 8x + 37

• g(x)= - 8x - 44

Tags

CCSS.HSF.BF.B.3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= 5x - 7, horizontal translation left 9 units

• g(x)= 5x + 2

• g(x)= 5x - 16

• g(x)= 5x + 38

• g(x)= 5x - 52

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= 12x + 8, horizontal stretch by a factor of 4

• g(x)= 48x + 8

• g(x)= 3x + 8

• g(x)= 48x + 32

• g(x)= 3x + 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 20x + 28, horizontal compression by a factor of  $\frac{1}{4}$  

• g(x)= - 80x + 112

• g(x)= - 5x + 28

• g(x)= - 80x + 28

• g(x)= - 5x + 7

Tags

CCSS.HSF.BF.B.3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 10x - 15, vertical compression by a factor of  $\frac{1}{5}$  

• g(x)= - 50x - 75

• g(x)= - 2x - 3

• g(x)= - 2x - 15

• g(x)= - 50x - 15

Tags

CCSS.HSF.BF.B.3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= 12x + 18, vertical stretch by a factor of 3

• g(x)= 36x + 54

• g(x)= 4x + 6

• g(x)= 36x + 18

• g(x)= 4x + 18

Tags

CCSS.HSF.BF.B.3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= 5x - 7, reflect across the x-axis

• g(x)= 5x - 7

• g(x)= 5x + 7

• g(x)= - 5x + 7

• g(x)= - 5x - 7

Tags

CCSS.HSF.BF.B.3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 9x + 12, reflect across the y-axis

• g(x)= 9x - 12

• g(x)= - 9x - 12

• g(x)= - 9x + 12

• g(x)= 9x +12

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4