Which transformation of Figure A results in Figure A' ?

a reflection across the x-axis

a counterclockwise rotation of 90° about the origin

a counterclockwise rotation of 270° about the origin

a translation 3 units left and 4 units down.

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

Option B: a counterclockwise rotation of 90° about the origin

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin  is given by

Let us substitute the coordinates of the figure A

Thus, we have,

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

b

step-by-step explanation:

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -