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).

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.