Cubic Function Transformation

Which g(x) function results in this graph?

• f(x)=x^3
  g(x)=f(x-3)-1

• f(x)=x^(1/3)
  g(x)=f(x-3)-1

• f(x)=x^3
  g(x)= - f(x-3)-1

• f(x)=x^(1/3)
  g(x)= - f(x-3)-1

Which of the following is the graph of  $y=-\left(x-4\right)^3+2$  

• 
• 
• 
• 

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

• 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

Which of the following is the equation of the cubic function graphed above

• $y=-\left(x-1\right)^3+4$

• $y=\left(x-1\right)^3+4$

• $y=-\left(x+1\right)^3+4$

• $y=\left(x+1\right)^3+4$

  What is the equation for the red function? 

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

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

The graph of  $y=x^3$  is graphed in blue. Which of the following equations could be equation of the function graphed in red?

•  $y=-5\left(x+2\right)^3-1$  

•  $y=5\left(x+2\right)^3-1$  

•  $y=-\frac{1}{5}\left(x+2\right)^3-1$  

•  $y=\frac{1}{5}\left(x+2\right)^3-1$