Question

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graph the image of square cdef after a reflection over the y-axis.

Explanation:

Step1: Identify original coordinates

Original square vertices:
$E(-3, 1)$, $F(-10, 1)$, $C(-10, -6)$, $D(-3, -6)$

Step2: Apply y-axis reflection rule

For a point $(x,y)$, reflection over y-axis is $(-x,y)$.
Calculate new coordinates:
$E' = (3, 1)$
$F' = (10, 1)$
$C' = (10, -6)$
$D' = (3, -6)$

Step3: Plot and connect new points

Plot $E'(3,1)$, $F'(10,1)$, $C'(10,-6)$, $D'(3,-6)$, then connect them in order.

Answer:

The vertices of the reflected square are $E'(3, 1)$, $F'(10, 1)$, $C'(10, -6)$, $D'(3, -6)$. When plotted and connected, these form the image of square $CDEF$ reflected over the y-axis.