Transformations of Polynomials

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

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

• Reflect, horizontal compress by 1/2, left 9, down 1

• Vertical compress by 1/2, left 9, down 1

• Horizontal Compress by 1/2, right 9, down 1

• Vertical Stretch by 1/2, left 9, down 1

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

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.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

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

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

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

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Describe the transformation of the graph  y = - ½(x + 4)³ - 1

• Left 4 and Down 1

• Reflected x-axis, Down 1, Left 4, Vertically Shrunk by a factor of 1/2

• Reflected x-axis, Down 1, Right 4, Vertically Shrunk by 1/2

• Reflected x-axis, Up 1, Right 4, Vertically Shrunk by a factor of 1/2

Tags

CCSS.HSF.BF.B.3