Question

What transformation rule would represent a shift of 3 units to the left 4 units down?
Group of answer choices

(x,y) –> (x – 4, y – 3)

(x,y) –> (x – 3, y – 4)

(x,y) –> (4x, 3y)

(x,y) –> (x + 3, y + 4)

Answer 1

Given:

Shift of 3 units to the left 4 units down.

To find:

The transformation rule.

Solution:

The rule of transformation is

$(x,y)\to (x+a,y+b)$          ...(i)

Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.

Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.

If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.

Putting a=-3 and b=-4 (i), we get

$(x,y)\to (x+(-3),y+(-4))$

$(x,y)\to (x-3,y-4)$

Therefore, the correct option is B.