Cubic Functions - Transformations

What is the critical point of the following equation?      $y=\left(x+3\right)^3-1$  

• (3,-1)

• (-3,-1)

• (-1,-3)

• (-1,3)

What is the critical point of the following equation?  $y=-\left(x-4\right)^3$  

• (4,0)

• (0,-4)

• (-4,0)

• (-1,-4)

What are the transformations of the following equation?  $y=\left(x+2\right)^3-8$  

• Left 2, Down 8

• Right 2, Down 8

• Left 8, Up 2

• Left 8, Down 2

What are the transformations of the following equation?  $y=-x^3+4$  

• Up 4

• Left 1, Up 4

• Reflected over x-axis, Right 4

• Reflected over x-axis, Up 4

Which equation shows the transformation of right 1?

• $y=x^3+1$

• $y=x^3-1$

• $y=\left(x-1\right)^3$

• $y=\left(x+1\right)^3$

Which equation shows the transformation up 9, left 2

• $y=\left(x+2\right)^3+9$

• $y=\left(x-2\right)^3+9$

• $y=\left(x-9\right)^3+2$

• $y=\left(x+9\right)^3+2$

Which of the following is the equation for the cubic function graphed above. (Hint: Look at the critical point. Click on the picture to enlarge it)

• $y=\left(x+4\right)^3+3$

• $y=\left(x+4\right)^3-3$

• $y=\left(x-4\right)^3+3$

• $y=\left(x-4\right)^3-3$

Which of the following is the graph of  $y=\left(x-2\right)^3-4$   (Hint: Look at the critical point.)

• 
• 
• 
• 

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

• Shrink by 2, Reflected over y-axis, Right 5
• Stretch by 2, Reflected over x-axis, Left 5
• Stretch by 2, Reflected over x-axis, Right 5
• Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

Which of the following is the equation for the cubic function graphed above. (Hint: Look at the critical point. Click on the picture to enlarge it)

• $y=\left(x+2\right)^3+3$

• $y=\left(x-3\right)^3-2$

• $y=\left(x-3\right)^3+2$

• $y=\left(x+3\right)^3+2$