Question

What transformation is represented by the rule (x, y)→(x−9, y+2) ?

Answer 1

C. Translation 9 units to the left, and 2 units up is your answer. Let me know if you have any other questions.

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

The rule of transformation is defined as

$(x,y)\rightarrow (x+a,y+b)$           ... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units right and if a<0, then the graph shifts a units left.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given rule of transformation is

$(x,y)\rightarrow (x-9,y+2)$          .... (2)

From (1) and (2), we get

$a=-9,b=2$

The value a=-9<0 represents the translation 9 units to the left and b=2 represents the translation 2 units up.

Therefore the correct option is C.