Question

a (1,7) b (8,7) d (1,2) c (8,2) what is the coordinate for b after a reflection over the y axis then a translation of (x+2, y - 4)?

Explanation:

Step1: Reflection over y - axis rule

The rule for reflecting a point $(x,y)$ over the $y$-axis is $(-x,y)$. Given point $B(8,7)$, after reflection over the $y$-axis, the $x$-coordinate changes sign. So the new point $B_1$ is $(-8,7)$.

Step2: Apply translation rule

The translation rule is $(x + 2,y - 4)$. For point $B_1(-8,7)$, we add 2 to the $x$-coordinate and subtract 4 from the $y$-coordinate. The new $x$-coordinate is $-8+2=-6$, and the new $y$-coordinate is $7 - 4 = 3$.

Answer:

$(-6,3)$