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)

Given:

Shift of 3 units to the left 4 units down.

To find:

The transformation rule.

Solution:

The rule of transformation is

         ...(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

Therefore, the correct option is B.

a 360 degree rotation

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4