I need help with rigid transformations

Question

Find the coordinates of the vertices of each figure after the given transformation

1) reflection across y=2

J(1, 3) U(0, 5) R(1, 5) C(3, 2)

2) translation: 7 units right and 1 unit down

J(-3, 1) F(-2, 3) N (-2, 0)

3) translation: 6 units right and 3 units down

S(-3, 3) C(-1, 4) W(-2, -1)

Answer 1

1) to translate over y = 2, move y coordinate below y = 2 the same distance it is above it:

new y coordinate for each point is 2 - (existing y-coordinate - 2):

e.g., for J(1,3), new y coordinate is 2 - (3-2) = 1, so J'(1,1)

e.g. for U(0,5), new y coordinate is 2 - (5-2) = -1, so U'(0,-1)

2) to translates 7 units right and 1 unit down, increase x coordinate by 7 and decrease y coordinate by 1:

e.g for J(-3,1), new coordinates are J'(4,0)

3) to translate 6 units right and 3 units down increase x coordinate by 6 and decrease y coordinate by 3:

e.g. for S(-3,3), new coordinates are S'(3,0)