5.11.23 Function Transformations & End Behavior

If the blue curve is f(x) = x², then the red curve must be

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

If the blue curve is f(x) = x², the red curve must be

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 3

What type of transformation would  $f\left(x+2\right)$   create?

• Translation

• Reflection

How does the graph of  $f\left(x\right)=x^2$  compare to the graph of  $g\left(x\right)=x^2+2$  

• Translate up 2

• Translate left 2

• Translate down 2

• Translate right 2

Which equation would translate  $f\left(x\right)=x^3$  to the right 4 units?

•  $x^3+4$  
  

•  $x^3-4$  
  

•  $\left(x-4\right)^3$  
  

•  $\left(x+4\right)^3$  
  

• Translation

• Reflection

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Match the square root equation to its graph.

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Regents Question!

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