Polynomial Function Transformation

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4

• x³- 4

• (x - 4)³

• (x + 4)³

Tags

CCSS.HSF.BF.B.3

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical shrink by a factor of 3

• horizontal shift to the left 2 and vertical shrink by a factor of 3

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3

• x³ - 3

• (x + 3)³

• (x - 3)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Tags

CCSS.HSF.BF.B.3

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)=x²-2

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• vertical shrink by a factor of 1/4,translation down 2 units

• vertical shrink by a factor of 1/4,translation right 2 units

• vertical stretch by a factor of 1/4,translation down 2 units

• vertical stretch by a factor of 1/4,translation right 2 units

Tags

CCSS.HSF.BF.B.3

Which of the following is the graph of y = (x – 1)³ – 7?

• 
• 
• 
• 

What is the equation for the red function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

What are the transformations of the following polynomial from the parent function f(x)=x^3?

• Vertical compression by a factor of 2, and shifted left by 4 units

• Reflected over the x-axis, vertical stretch by a factor of 2, and shifted up 4 units.

• Reflected over the y-axis by a factor of 2, and shifted up by 4 units.

• None

Tags

CCSS.HSF.BF.B.3