Question

PLAC C(1, 4) E(5, 5) N(7,4) T(5, 1) and perform these transformations: (a) T(x, y) (x-4, y + 5) and label the image C'E'N'T (b) T(x, y) (x, y - 3) and label C"E"N"T" (c) Shift C'E'N'T' 5 units right and 1 unit down and label it "E"N"T".

Answer 1

1) Let's perform the following transformations

a) In this case, we'll perform a translation 4 units to the left and 5 units up

Pre-image Transformation Image

T(x, y) (x-4, y + 5)

C(1,4) C' (-3,9)

E(5, 5) E' (1, 10)

N(7,4) N' (3, 9)

T(5, 1) T' (1, 6)

b) There's a little difference about this translation, we're going to keep the x-coordinate and translate it down 3 units.

Pre-image Transformation Image

T(x, y) (x, y -3)

C(1,4) C'' (1,1)

E(5, 5) E'' (5, 7)

N(7,4) N'' (7, 1)

T(5, 1) T'' (5, -2)

c) Lastly, we're going to perform this last translation T 5, -1

Pre-image Transformation Image

T(x, y) (x+5, y -1)

C(1,4) C'''' (6,3)

E(5, 5) E''' (10, 4)

N(7,4) N''' (12, 3)

T(5, 1) T''' (10, 0)

To locate these images we need to count in the graph the direction starting always from the pre-image CENT