10.1 Transformations of Cubic Functions

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

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

•  $y=-5\left(x+2\right)^3-1$  

•  $y=5\left(x+2\right)^3-1$  

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

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

Tags

CCSS.HSF.BF.B.3

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3