Question

1. Draw the image of ABC under the dilation with scale factor 2 and center of dilation(-4,-3) . Label the image A'B'C'

Answer 1

The center of dilation of the question is (-4,-3) .
let say that 
x0=-4
y0=-3

Label the image A'B'C'
The new coordinate would be

A(-4,-1)
x=4
y=-1

x'=x0+ 2(x - x0)
x'= -4+ 2(-4 +4)
x'=-4

y'=y0+ 2(y - y0)
y'= -3+ 2(-1 +3)
y'=-3 +4= 1

______________________________

B(-4,-3)
x=-4
y=-3

x'=x0+ 2(x - x0)
x'= -4+ 2(-4 +4)
x'=-4

y'=y0+ 2(y - y0)
y'= -3+ 2(-3 +3)
y'=-3 

______________________________

C(-1,-3)
x=-1
y=-3

x'=x0+ 2(x - x0)
x'= -4+ 2(-1 +4)
x'=-4 +6= 2

y'=y0+ 2(y - y0)
y'= -3+ 2(-3 +3)
y'=-3 

A'(-4,1)
B'(-4,-3)
C'(2,-3)

Answer 2

Answer: The Answer I think is A' (0,-2)  B' (0,0)  C(-3,0)

I will update and do the step by step when it is verified.

Step-by-step explanation: