Algebraic Notation of Transformations

The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?

• (x, y) --> (x - 7, y + 4)

• (x, y) --> (x + 7, y - 4)

• (x, y) --> (x + 4, y - 7)

• (x, y) --> (7x, 4y)

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

• 1
• 2
• 3
• 4

Function g(x) can be thought of as a translated (shifted) version of f(x).  

g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

Let f be the parent absolute value function f(x) = |x|. Match each function below with its transformation of f.

• Vertical stretch

• Horizontal stretch

• Vertical translation

• Horizontal translation

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

• (x, y) --> (x - 9, y + 3)

• (x, y) --> (x + 9, y - 3)

• (x, y) --> (x + 3, y - 9)

• (x, y) --> (9x, 3y)

Find K' if the figure is reflected across the x-axis

• (4, 1))

• (-1, -4)

• (1, -4)

• (1, 4)