Question

reflect def over the y - axis. record the new coordinates of the image below.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the y - axis is $(-x,y)$.

Step2: Identify original coordinates

From the graph, assume $D(1, - 2)$, $E(4,-7)$, $F(1,-7)$.

Step3: Apply reflection rule to point D

For point $D(1,-2)$, when reflected over the y - axis, $x = 1$ becomes $-1$ and $y=-2$ remains the same. So $D'(-1,-2)$.

Step4: Apply reflection rule to point E

For point $E(4,-7)$, when reflected over the y - axis, $x = 4$ becomes $-4$ and $y = - 7$ remains the same. So $E'(-4,-7)$.

Step5: Apply reflection rule to point F

For point $F(1,-7)$, when reflected over the y - axis, $x = 1$ becomes $-1$ and $y=-7$ remains the same. So $F'(-1,-7)$.

Answer:

$D':(-1,-2)$
$E':(-4,-7)$
$F':(-1,-7)$