Identify Function Transformations

Identify the transformations.

• Shift right 4 and down 2

• Shift left 4 and up 2

• Shift right 4 and up 2

• Shift left 4 and down 2

Tags

CCSS.HSF.BF.B.3

How did the equation shift from the parent function?

y = f(x) + c

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically by a factor of "c"

• Shifted right "c" units

Describe the transformations to f(x).

g(x) = -f(2x)

• Vertical stretch by 2, reflection over the y-axis

• Horizontal stretch by 2, reflection over the y-axis

• Horizontal stretch by 2, reflection over the x-axis

• Horizontal shrink by 1/2, reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

Describe the transformations to f(x).

g(x) = 2f(-x)

• Vertical shrink by 1/2, reflection over the x-axis

• Horizontal shrink by 1/2, reflection over the y-axis

• Vertical stretch by 2, reflection over the y-axis

• Horizontal stretch by 2, reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

Describe the transformations to f(x).

h(x) = 1/5f(x-1)

• Vertical compression, shift down

• Vertical compression, shift right

• Vertical stretch, shift left

• Horizontal stretch, shift left

Tags

CCSS.HSF.BF.B.3

Describe the transformations to f(x).

w(x) = f(x - 7) - 4

• Shift right 7, up 4

• Shift left 7, up 4

• Shift right 7, down 4

• Shift left 7, down 4

Tags

CCSS.HSF.BF.B.3

Describe the transformations to f(x).

h(x) = -f(4x) + 2

• Vertical stretch, reflect over y-axis, shift up 2

• Horizontal stretch, reflect over x-axis, shift up 2

• Horizontal compression, reflect over x-axis, shift up 2

• Horizontal stretch, reflect over y-axis, shift up 2

Tags

CCSS.HSF.BF.B.3

Describe the transformations to f(x).

p(x) = f(-(x + 3))

• Reflect over x-axis, shift up 3 units

• Reflect over y-axis, shift right 3 units

• Reflect over x-axis, shift left 3 units

• Reflect over y-axis, shift left 3 units

Tags

CCSS.HSF.BF.B.3

Describe the transformations to f(x).

m(x) = -f(x + 1)

• Reflect over x-axis, shift left 1 unit

• Reflect over x-axis, shift right 1 unit

• Reflect over y-axis, shift right 1 unit

• Reflect over x-axis, shift up 1 unit

Tags

CCSS.HSF.BF.B.3

Describe the transformations to f(x).

k(x) = 3f(-x)

• Vertical stretch of 3, reflect over y-axis

• Vertical stretch of 3, reflect over x-axis

• Vertical compression by 1/3, reflect over y-axis

• Horizontal compression by 1/3, reflect over y-axis

Tags

CCSS.HSF.BF.B.3