Transformation Polynomial Function

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

A change that shifts a graph horizontally, vertically, or both. This does not change the shape of the graph.

• Translation

• Transformation

• Vertex

• Reflection

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

• x³+ 4

• x³- 4

• (x - 4)³

• (x + 4)³

What are the following transformations from the original function f(x)?

• reflection over the x axis and 4 units right

• reflection over the x axis and 4 units down

• reflection over the y axis and 4 units right

• reflection over the y axis and 4 units down

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

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 two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

• reflection over the x-axis

• shift left 3

• shift down 1

• shift right 3

• shift up 1

Write the equation of a quartic polynomial that has been translated down 2 and and right 1.