APPC 1.12 Transformations of Functions

The graph of y = f(x), consisting of three line segments, is shown above for -3 ≤ x ≤ 3. The graph of y = g(x) is the result of transforming the graph of f. Which of the following gives the transformation from f to g?

• g(x) = f(x - 2) - 1

• g(x) = f(x + 2) - 1

• g(x) = f(x - 2) + 1

• g(x) = f(x + 2) + 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The graph of y = f(x), consisting of three line segments, is shown above for -3 ≤ x ≤ 3. The graph of y = g(x) is the result of transforming the graph of f. Which of the following gives the transformation from f to g?

• g(x) = f(-x)

• g(x) = -f(x)

• g(x) = f(x - 1)

• g(x) = f(x) - 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

The tables above give values of f and g at selected values of x. The graph of y = g(x) is the result of transforming the graph of f. Which of the following could be the transformation from f to g?

• g(x) = f(x - 3) - 2

• g(x) = f(x - 3) + 2

• g(x) = f(x + 3) - 2

• g(x) = f(x + 3) + 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

The tables above give values of f and g at selected values of x. The graph of y = g(x) is the result of transforming the graph of f. Which of the following could be the transformation from f to g?

• g(x) = 1/2 f(-x)

• g(x) = f(x - 6) + 1

• g(x) = -2f(x)

• g(x) = 2f(-x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

The tables above give values of f and g at selected values of x. The graph of y = g(x) is the result of transforming the graph of f. Which of the following could be the transformation from f to g?

• g(x) = 1/2 f(x/2)

• g(x) = 1/2 f(2x)

• g(x) = 2f(x/2)

• g(x) = 2f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

The graph of y = g(x) is the result of the transformation

g(x) = 2f(x − 3) + 1. Which of the following gives the domain of g(x)?

• −7 ≤ x ≤ 3

• −1 ≤ x ≤ 9

• −3 ≤ x ≤ 7

• −7 ≤ x ≤ 13

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

The graph of y = g(x) is the result of the transformation

g(x) = 2f(x − 3) + 1. Which of the following gives the range of g(x)?

• −1 ≤ y ≤ 4

• −3 ≤ y ≤ 7

• 1 ≤ y ≤ 21

• 3 ≤ y ≤ 13

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of y = h(x) is the result of the transformation

h(x) = −3f(2x) − 4. Which of the following gives the domain of h(x)?

• −22 ≤ x ≤ 8

• −8 ≤ x ≤ 12

• −2 ≤ x ≤ 3

• 0 ≤ x ≤ 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

The graph of y = h(x) is the result of the transformation

h(x) = −3f(2x) − 4. Which of the following gives the range of h(x)?

• −34 ≤ y ≤ −4

• 0 ≤ y ≤ 5

• 0 ≤ y ≤ 10

• −4 ≤ y ≤ 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of y = k(x) is the result of the transformation k(x) = 4f(x/2) + 1.

The point (2, −3) on the graph of f maps to which of the following points on the graph of k?

• (1, −11)

• (1, −8)

• (4, −11)

• (4, −8)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7