Transformations of Parent Functions - Equations

f(x) = 2x

• Vertical stretch

• Vertical compression

• Vertical translation up

• Reflection over the x-axis

• No Transformation

Tags

CCSS.HSF.BF.B.3

f(x) = |x-4|

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• No transformation

f(x) = 0.7√(x)

• Vertical stretch

• Vertical compression

• Vertical translation down

• Reflection over the x-axis

• No transformation

Tags

CCSS.HSF.BF.B.3

f(x) = x³ + 7

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• No transformation

f(x) = (1/4)^x+3

• Vertical translation up

• Horizontal translation left

• Horizontal translation right

• Vertical compression

• No transformation

f(x) = x² - 6

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• Reflection over the x-axis

f(x) = −x³

• Vertical translation down

• Vertical compression

• Reflection over the x-axis

• Horizontal translation left

• No transformation

f(x) = x

• Vertical stretch

• Vertical compression

• Reflection over the x-axis

• Horizontal translation to the right

• No transformation

f(x) = 2^x-1 + 3 (Select ALL that apply!)

• Horizontal translation left

• Horizontal translation right

• Vertical translation up

• Vertical translation down

• Vertical stretch

Tags

CCSS.HSF.BF.B.3

What will be the vertex of

f(x) = 4 (x-3)² + 1 ?

• (3,1)

• (1,3)

• (-3,1)

• (3, -1)

• None of these.