Describe fully the single transformation that maps shape A onto shape B.

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

Step-by-step explanation:

The coordinates of the A are A(-1, 3)

The coordinates of the corresponding point on B is (-1, 1)

Therefore, given that the x-coordinates of the pre-image A and the image B are the same, therefore, we have that image B is a reflection of image A

Also half the vertical distance between figure A and B = (3 - 1)/2 = 1

Therefore, figure A is obtained from figure B by reflection across a horizontal line, 1 unit below the lowest y-coordinate of figure A which is the line y = 3 - 1 = 2

Therefore, we have;

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square