I WILL MARK YOU BRAINLIEST IF YOU EXPLAIN TO ME HOW TO DO IT

Step 1: Draw the points TUVW using the given coordinates (you already did T).

Step 2: For the reflection, in each coordinate replace the x coordinate with -x. E.g., T becomes T' (6,1). Reflection in y axis means the x coordinates swap their sign.

Step 3: Draw the reflected rectangle T'U'V'W'.

Step 4: Replace each coordinate of step 3 with x-5 and y+7, e.g., T' becomes T'' (1, 8)

Step 5: Draw T''U''V''W''

see explanation

Step-by-step explanation:

(a)

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

T(- 6, 1 ) → T'(6, 1 )

U(- 1, 0 ) → (1, 0 )

V(- 2, - 5 ) → V'(2, - 5 )

W(- 7, - 4 ) → W'(7, - 4 )

(b)

The translation rule (x, y ) → (x - 5, y + 7 ) means

Subtract 5 from the original x- coordinate and add 7 to the original y- coordinate, that is

T(- 6, 1 ) → T'(- 6 - 5, 1 + 7 ) → T'(- 11, 8 )

U(- 1, 0 ) → U'(- 1 - 5, 0 + 7 ) → U'(- 6, 7 )

V(- 2, - 5 ) → V'(- 2 - 5, - 5 + 7 ) → V'(- 7, 2 )

W(- 7, - 4 ) → W'(- 7 - 5, - 4 + 7 ) → W'(- 12, 3 )

b

step-by-step explanation: