Alg II: Transformations of X Cubes

 If the blue is f(x)=x^3, the red must be

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

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

• x³+ 4
• x³- 4
• (x - 4)³
• (x + 4)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7
• x³-7
• (x-7)³
• (x+7)³

Tags

CCSS.HSF.BF.B.3

If f(x) = x³ is changed to g(x) = -f(x+3) +2, how is the graph transformed from f to g?

• 3 units right, 2 units up, reflected across the y-axis

• 3 units right, 2 units up, reflected across the x-axis

• 3 units left, 2 units up, reflected across the y-axis

• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

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

 $g\left(x\right)=-2\left(x+1\right)^3$  

• Vertical compression by a factor of 2, and shifted right by 1 unit

• Reflected over the x-axis, vertical stretch by a factor of 2, and shift left by 1 unit

• Reflected over the y-axis by a factor of 2, and shifted up by 1 unit

• Reflected over the x-axis, horizontal compression by a factor of 2, and shifted down by 1 unit

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the graph y = (x - 3)³ -2

• Right 3, Down 2
• Left 3, Up 2
• Right 3, Up 2
• Left 3, Down 2 

Tags

CCSS.HSF.BF.B.3

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

• Right 6
• Left 6
• Up 6
• Down 6

Tags

CCSS.HSF.BF.B.3