Question

What will be the coordinates of D'' after it has been reflected over the x-axis and then translated 3 units to the right?A. (-6, -4)B. (-9, -4)C. (-6, -2)D. (-9, -2)

Answer 1

Solution

Step 1:

Write the coordinate of point D = (- 9, 4 )

Step 2:

The rule for reflection over x-axis

A reflection of a point over the x -axis is shown. The rule for a reflection over the x -axis is (x,y)→(x,−y) .

Step 3

D = (- 9, 4 )

D' = (- 9, -4 )

Step 4

To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

D' = (- 9, -4 )

D'' = (- 9+3, -4 )

D'' = (- 6, -4 )

Final answer

A. (- 6, -4 )