Question

what are the coordinates of d, e, and f after a reflection over the y - axis? plot these points on the grid, and label them d, e and f.

Explanation:

Step1: Recall reflection rule

For a point $(x,y)$ reflected over the $y -$axis, the new point is $(-x,y)$.

Step2: Find coordinates of $D'$

Point $D$ has coordinates $(-3,3)$. After reflection over the $y -$axis, $x=-3$ becomes $x = 3$ and $y = 3$ remains the same. So $D'=(3,3)$.

Step3: Find coordinates of $E'$

Point $E$ has coordinates $(5,0)$. After reflection over the $y -$axis, $x = 5$ becomes $x=-5$ and $y = 0$ remains the same. So $E'=(-5,0)$.

Step4: Find coordinates of $F'$

Point $F$ has coordinates $(2,-2)$. After reflection over the $y -$axis, $x = 2$ becomes $x=-2$ and $y=-2$ remains the same. So $F'=(-2,-2)$.

Answer:

$D'=(3,3)$, $E'=(-5,0)$, $F'=(-2,-2)$