Review for Quiz 8-1

Describe the transformation that occurred

f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

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

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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

Identify the Transformations. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

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

What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)
• −∞<x<∞
• (−∞,0]
• All Cube Root Functions are different.

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• reflection over the x-axis,vertical compress by a factor of 5
• reflection over the y-axis,vertical compress by a factor of 5
• reflection over the x-axis,vertical stretch by a factor of 5
• reflection over the y-axis,vertical stretch by a factor of 5

Which of these equations shifts a square root equation right 5 units and down one unit?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

Which of the following is the function shown in the graph?

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