A. a reflection across the x-axis and then a translation 15 units left.

b. a 90 degree clockwise rotation about the origin and then a translation 10 units left.

c. a 90 degree counterclockwise rotation about the origin and a translation 10 units left

d. a 180 degrees rotation about the origin and then a translation 10 units right.

7.3

step-by-step explanation:

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.