Function Transformations

Which of the following represents a shift to the right of the function  $f\left(x\right)=4x^3?$  

•  $f\left(x\right)=6x^3$  

•  $f\left(x\right)=4x^3+5$  

•  $f\left(x\right)=4\left(x-5\right)^3$  

•  $f\left(x\right)=4\left(x+5\right)^3$  

Which of the following represents a shift to the left of the function  $f\left(x\right)=3\sqrt{x}?$  

•  $f\left(x\right)=6\sqrt{x}$  

•  $f\left(x\right)=3\sqrt{x+3}$  

•  $f\left(x\right)=3\sqrt{x-3}$  

•  $f\left(x\right)=3\sqrt{x}-5$  

•  $f\left(x\right)=3\sqrt{x}+5$  

Which of the following represents an upward translation of the function  $f\left(x\right)=10x^2?$  

•  $f\left(x\right)=15x^2$  

•  $f\left(x\right)=10x^2+5$  

•  $f\left(x\right)=10x^2-5$  

•  $f\left(x\right)=10\left(x+5\right)^2$  

Which of the following functions could match this graph?

• $f\left(x\right)=2x^2+1$

• $f\left(x\right)=2x+1$

• $f\left(x\right)=2x^3+1$

• $f\left(x\right)=2\sqrt{x}+1$

Which of the following functions could match this graph?

• $f\left(x\right)=\sqrt{x+2}+1$

• $f\left(x\right)=\sqrt{x-2}+1$

• $f\left(x\right)=-\sqrt{x+2}+1$

• $f\left(x\right)=-\sqrt{x-2}+1$

Which of the following is a horizontal stretch of the function  $f\left(x\right)=\sin\left(x\right)$  ?

•  $f\left(x\right)=2\sin\left(x\right)$  

•  $f\left(x\right)=\sin\left(2x\right)$  

•  $f\left(x\right)=\sin\left(\frac{x}{2}\right)$  

•  $f\left(x\right)=\frac{1}{2}\sin\left(x\right)$  

Which of the following is a vertical stretch of the function  $f\left(x\right)=\sqrt{x}$  by a factor of 2?

•  $f\left(x\right)=2\sqrt{x}$  

•  $f\left(x\right)=\sqrt{2x}$  

•  $f\left(x\right)=\frac{1}{2}\sqrt{x}$  

•  $f\left(x\right)=\sqrt{\frac{x}{2}}$  

Which of the following is the graph of  $f\left(x\right)=-x^2$  ?

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If this picture shows the graph of  $f\left(x\right)$  , then which of the following shows the graph of its reflection across the y-axis?

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Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

Tags

CCSS.HSG.CO.A.2