CCSS.Math.Content.HSF.BF.B.3

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the x-axis
• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.Math.Content.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Vertical Compression by a factor of 2
• Vertical Stretch by a factor of 2
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.Math.Content.HSF.BF.B.3

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9
• f(x) = |2x - 1| - 9
• f(x) = 2|x + 1| - 9 
• f(x) = 2|x - 1| - 9

Tags

CCSS.Math.Content.HSF.BF.B.3

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Tags

CCSS.Math.Content.HSF.BF.B.3

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

Tags

CCSS.Math.Content.HSF.BF.B.3

Describe the transformations of the function.

• Shifted right by 4 units

  Shifted down by 7 units

  Stretched Vertically

• Shifted right by 4 units

  Shifted up by 7 units

  Stretched Vertically

• Shifted right by 4 units

  Shifted down by 7 units

  Compressed Vertically

• Shifted left by 4 units

  Shifted down by 7 units

  Compressed Vertically

Tags

CCSS.Math.Content.HSF.BF.B.3

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

y = I x| - 4

• Left 4

• Right 4

• Up 4

• Down 4

Tags

CCSS.Math.Content.HSF.BF.B.3

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

y = I x |+ 3

• Left 3

• Right 3

• Up 3

• Down 3

Tags

CCSS.Math.Content.HSF.BF.B.3

Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

Tags

CCSS.Math.Content.HSF.BF.B.3

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

Tags

CCSS.Math.Content.HSF.BF.B.3