Function Notation Graph Translations

Are these two functions inverses of each other?

• Yes, they are inverses of each other

• No, they are not inverses of each other

• They are inverses of each other only for certain values

• Cannot be determined without more information

Tags

CCSS.HSF-BF.B.4B

The placement of a green floor tile among white floor tiles is determined using a translation as shown at the right. Describe the translation from tile 1 to tile 2 using coordinate notation and words. Describe the translation from tile 1 to tile 3 using a translation vector.

• coordinate notation: (x, y) -> (x + 2, y + 3)

  words: The tile is translated 2 tiles right and 3 tiles up. translation vector for tile 1 to tile 3: ⟨4,6⟩

• coordinate notation: (x, y) -> (x - 2, y - 3)

  words: The tile is translated 2 tiles left and 3 tiles down.

  translation vector for tile 1 to tile 3: ⟨2,3⟩

• coordinate notation: (x, y) -> (x - 2, y - 3)

  words: The tile is translated 2 tiles right and 3 tiles up.

  translation vector for tile 1 to tile 3: ⟨2,3⟩

• coordinate notation: (x, y) -> (x + 2, y + 3)

  words: The tile is translated 2 tiles left and 3 tiles down.

  translation vector for tile 1 to tile 3: ⟨4,6⟩

Tags

CCSS.HSG.CO.A.2

The graph shows repeated translations that result in the animation of the soccer ball. If you follow the pattern, what will be the coordinates of the translation to position 4?

• (5, −3)

• (4, −3)

• (4, −2)

• (5, −2)

Tags

CCSS.HSG.CO.A.2

Describe the transformation.

• Vertical translation down 1

• Reflection over the y-axis

• Vertical translation up 1

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

Which of the following equations is the functionof the graph shown?

Tags

CCSS.HSF-IF.C.7B

Describe the transformations.

• Horizontal Translation Right 2, Vertical Translation Down 4

• Horizontal Translation Left 2, Vertical Translation Down 4

• Horizontal Translation Left 2, Vertical Translation Up 4

• Horizontal Translation Right 2, Vertical Translation Up 4

Tags

CCSS.HSF.BF.B.3

Which function matches the graph?

• f(x) = ∛(x + 3) + 2

• f(x) = − ∛(x - 3) + 2

• f(x) = ∛(x - 3) + 2

• f(x) = ∛(x - 2) + 3

Tags

CCSS.HSF-IF.C.7B

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

Tags

CCSS.HSF.BF.B.3

Which of the following is not true about the function shown?

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2.

Tags

CCSS.HSF-IF.C.7B

• reflection over the x-axis, horizontal translation left 2

• reflection over the x-axis, vertical translation up 2

• reflection over the x-axis, horizontal translation right 2 

• reflection over the x-axis, vertical translation down 2

Tags

CCSS.HSF.BF.B.3