I believe the answer to your question is 11650
For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
A, B, and D are the correct answers.
The answer is 6(x^2 -1) I have provided a picture with my work and the answer
Point slope form is:
y -

= m(x -

)
With

and

being the coordinate points, and m being the slope.
So the coordinate points are (4, -5), and the slope is -6 in this case.
So just substitute everything in, to get:
y - ( -5) = -6(x - 4)
Or
y + 5 = -6 (x - 4)