What is the image point of (-12, -8) after the transformation R270° 0 D. ?

Given:

The point is (-12,-8).

Rule of transformation is .

To find:

The coordinates of image after transformation.

Solution:

According to the rule of transformation , first the point is dilated by factor with origin as center of dilation after that it was rotated 270 degrees anticlockwise.

If a point is dilated by factor with origin as center of dilation, then

If a point is rotated 270 degrees anticlockwise, then

Therefore, the coordinates of image after transformation are (-2,3).

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: