Question

CAP has vertices

C(-3,8),
A(3,-9),
and
P-1,-10).

What are the coordinates of the image of
A after the given composition of tranformations?

Dilation: center (0, 0); scale factor 5,
Translation: (x, y) (x-9,y +11).

Answer 1

`A'' = (6, -34)`

Explanation:

Given (Points)

`C = (-3,8)`

`A = (3,-9)`

`P = (-1,-10)`

Transformations:

Dilation: Center (0,0); Scale factor = 5

Translation: (x, y) --> (x-9,y +11).

Required

Determine the image of A

`A = (3,-9)`

Apply the first transformation:

i.e. dilation by a scale factor of 5

`A'=A * 5`

`A'=(3,-9) * 5`

`A'=(3* 5,-9* 5)`

`A'=(15,-45)`

Apply the second transformation:

i.e. translation: (x, y) --> (x-9,y +11).

`A'=(15,-45)`

`A'' = (15 - 9, -45 + 11)`

`A'' = (6, -34)`

Hence, the image of A is (6,-34)