Question

Help solve for me please ​

Answer 1

Answer:

A''=(8,0)

B''=(12,-5)

C''=(16,-4)

D''=(17,3)

Step-by-step explanation:

Translations

The following points are given:

A=(2,3)

B=(6,-2)

C=(10,-1)

D=(11,6)

Two transformations will be applied:

T(x,y)->(x+12,y-8). It means: add 12 to x, subtract 8 to y

T(x,y)->(x-6,y+5). It means: subtract 6 to x, add 5 to y

Start with point A. First translation:

A'=(2+12,3-8)=(14,-5). Second translation:

A''(14-6,-5+5)=(8,0)

Now for point B. First translation:

B'=(6+12,-2-8)=(18,-10). Second translation:

B''(18-6,-10+5)=(12,-5)

Now for point C. First translation:

C'=(10+12,-1-8)=(22,-9). Second translation:

C''(22-6,-9+5)=(16,-4)

Finally for point D. First translation:

D'=(11+12,6-8)=(23,-2). Second translation:

D''(23-6,-2+5)=(17,3)