Transformations with Arrow Notation

What is the arrow notation for this translation?

•  (x , y) --> (x - 1, y  + 3)

•   (x , y) --> (x + 3, y  + 1)

•  (x , y) --> (x + 3, y  - 1)

•  (x , y) --> (x + 1, y  -  3)

What transformation is happening?

• shift up 2, left 3

• shift right 2, up 3

• shift right 2, down 3

• shift left 3, right 2

The vertices of 𝛥𝑃𝑄𝑅 are 𝑃(5, 3), 𝑄(– 7, 2), 𝑅(0, – 8). If 𝛥𝑃𝑄𝑅 is transformed following the rule (𝑥, 𝑦) → (𝑥 − 9, 𝑦 + 5), what are the coordinates of the vertices of 𝛥𝑃′𝑄′𝑅′?

• 𝑃(−4, 3), 𝑄(– 16, 2), 𝑅(−9, −8)

• 𝑃(−4, 8), 𝑄(– 16, 7), 𝑅(−9, −3)

• 𝑃(3, −4), 𝑄(2, −16), 𝑅(−8, −9)

• 𝑃(8, −4), 𝑄(7, −16), 𝑅(−3, −9)

Write a rule for the translation.

• (x -1, y + 2)

• (x -2, y + 1)

• (x +2, y - 1)

• (x +1, y - 2)

What is the notation that properly describes the transformation(s) of the figure?

• (-y, x-8)

• (x, y+8)

• (-y+8,x)

• (-y-8, x)

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

Translate 1 unit down and reflect across the x-axis.

• 
• 
• 
• 

Describe the translation from Point A to Point C

• (-2,3) ===>>> (x+5, y-4)

• (-2,3) ===>>> (x-5, y+4)

• (-2,3) ===>>> (x+4, y-5)

• (-2,3) ===>>> (x-4, y+5)

What is the arrow notation for a translation 2 units right and 5 units up?

• (x, y) --> (x - 2, y - 5)

• (x, y) --> (x + 2, y + 5)

• (x, y) --> (x + 5, y + 2)

• (x, y) --> (5x, 2y)

Identify the transformation. Then use arrow notation to describe the transformation.

• The transformation is a 90° rotation. ABC → A'B'C'

• The transformation is a 45° rotation. ABC → A'B'C'

• The transformation is a reflection. ABC → A'B'C'

• The transformation is a translation. ABC → A'B'C'