Transformation of cubic functions

Describe the transformation of the graph y = (x)³ + 6

• Right 6

• Left 6

• Up 6

• Down 6

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

• A. g(x) = -x³

• B. g(x) = x³ - 1

• C. g(x) = (x + 1)³

• D. g(x) = (x - 1)³

Describe the transformation of the graph y = -2(x + 5)³

• Vertically shrink by a factor of 2, Reflected over y-axis, Shift right 5

• Vertically stretch by 2, Reflected over x-axis, shift left 5

• Vertically stretch by 2, Reflected over x-axis, Shift right 5

• Vertically shrink by 2, reflected over y-axis, shift left 5

Describe the transformation of the graph  
y = ½x³

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Vertical stretch by 2

• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Which of the following does not describe the transformation of the graph g(x) = - ½(x + 4)3 - 1 from f(x) = x3

• Left 4 

• Vertical shrink by -1/2

• Reflection on x-axis

• Shift down 1 unit

Write a cubic functions with the following transformations.

-Up 2

-Left 5

• y = (x + 5)³ + 2

• y = (x - 5)³ - 2

• y = (x - 5)³ + 2

• y = (x + 5)³ - 2

The function f(x) = 2(x-4)3 is transformed to h(x) = 2(x+1)3 +1. Describe the transformation.

• Shift left 5 units, and up 1 unit

• Shift left 1 units, and down 1 unit

• Shift right 5 units, and up 1 unit

• Shift left 5 units, and down 1 unit