Question

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

A. translation 9 units to the left and 2 units down

B. translation 9 units to the right and 2 units up

C. translation 9 units to the left and 2 units up

D. translation 9 units to the right and 2 units down

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

The correct option is C.

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.