Point Q is the image of Q(4-6) under a translation by 1 unit to the right

The  image of Q(4,-6) under a translation by 1 unit to the right then the new coordinate point R( 5 , -6)

Step-by-step explanation:

Explanation:-

Given image Q( 4, -6)

Type of transformation                                    change to co-ordinate point

a) Horizontal translation left

'C' units                                                                        (x, y)  ⇒   (x- c, y)

b) Horizontal translation right 'C' units                   (x, y)⇒( x +c ,y )

c) vertical translation up 'd' units                            (x, y)⇒( x  ,y + d )

d)  vertical translation down 'd' units                        (x, y)⇒( x  ,y - d )

Now we will use Horizontal translation right 'C' units    

image of Q(4-6) under a translation by 1 unit to the right

Q( 4 , -6)   ⇒ The new image R( 4+1 ,-6)

The  image of Q(4-6) under a translation by 1 unit to the right then the new coordinate point R( 5 , -6)

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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.