Question

If the point (-1, 3) is translated according to the rule (x, y) → (x + 4, y – 2), and then reflected across the x-axis, what are the coordinates of the final resulting image?

Answer 1

a. (-1,3)
b. (3,1)
c. (-3,-1)
d. (3,-1

Answer 2

reflecting across the x-axis is a translation according to the rule \((x,y)\rightarrow(x,-y)\)

Answer 3

\[(-1,3)\rightarrow(-1+4,3-2)\rightarrow(-1+4,-(3-2)) =\]

Answer 4

you could also combine the two translations:
\[(x,y)\rightarrow(x+4,y-2)\rightarrow(x+4,-(y-2)) = (x,y)\rightarrow(x+4,2-y)\]Should get the same result.