Transformations in Function Notation

Which transformation is shown here (from red to purple)?

• Translation 2 units left

• Translation 2 units right

• Reflection across the x-axis

• Reflection across the y-axis

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

How do we represent a translation 2 units to the left using function notation?

• $f\left(x\right)+2$

• $f\left(x\right)-2$
  

• $f\left(x+2\right)$
  

• $f\left(x-2\right)$
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which two transformations are shown here (red to purple)?

• Reflection across the x-axis and translation 1 unit up

• Reflection across the y-axis and translation 1 unit up

• Translation 1 unit right and 3 units up

• Translation 3 units right and 1 unit up

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How do we represent a translation 3 units right and 1 unit up?

• $f\left(x+3\right)+1$
  

• $f\left(x-3\right)+1$

• $f\left(x+1\right)+3$

• $f\left(x-1\right)+3$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Brain Break: You get to have an exotic animal as a pet, but it has to be one of these four. Which one do you choose?

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Which axis is this graph reflected over? [Type "x" or "y"]

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which statement best describes how reflecting over the x-axis affects the x- and y-values?

• The x-values stay the same while the y-values flip signs

• The x-values flip signs while the y-values stay the same

• Both the x-values and the y-values flip signs

• Both the x-values and the y-values stay the same

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

How do we represent a reflection across the x-axis in function notation?

• $f\left(x\right)$

• $f\left(-x\right)$

• $-f\left(x\right)$

• $-f\left(-x\right)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What would happen to the graph if we reflected it across the y-axis?

• It would move to the right

• It would look the same

• It would turn upside down

• It would get smaller

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Brain Break: Your friend asks you to go camping at one of the places below. Which one do you choose?

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