Function Transformation

Describe the transformation of the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• translation 4 units up

• translation 4 units down

• translation 4 units left

• translation 4 units right

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-3

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

• Left 3 up 5

• Right 3 down 5

• Left 3 down 5

• Right 3 up 5

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Stretch

• right 2 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• up 7

• right 7

• vertical compression

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

m(x) = f(x + 1)

• left 1

• right 1

• vertical stretch

• up 1

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

t(x) = f(x) - 1

• right 1

• down 1

• vertical compression

• vertical stretch

Tags

CCSS.HSF.BF.B.3

Describe the transformations of f(x) when compared to the parent function. f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

Describe the transformation that occurred

k(x) = f(x) - 9

• vertical compression

• down 9

• left 9

• right 9

Tags

CCSS.HSF.BF.B.3