Question

a. reflect the shape across the y - axis. b. record the coordinates of each vertex before and after the reflection in the table. preimage a (, ) b (, ) c (, ) d (, ) image a (, ) b (, ) c (, ) d (, ) c. use your table to write a rule that shows how the coordinates change when a shape is reflected across the y - axis.

Explanation:

Step1: Identify preimage coordinates

From the graph:
$A(4, -6)$, $B(7, -4)$, $C(4, -2)$, $D(1, -4)$

Step2: Apply y-axis reflection rule

For a point $(x,y)$, reflection over y-axis is $(-x,y)$.

• $A'( -4, -6)$
• $B'( -7, -4)$
• $C'( -4, -2)$
• $D'( -1, -4)$

Step3: Summarize the reflection rule

Generalize the coordinate change from preimage to image.

Answer:

Completed Table:

Preimage	Image
$B(7, -4)$	$B'(-7, -4)$
$C(4, -2)$	$C'(-4, -2)$
$D(1, -4)$	$D'(-1, -4)$

Reflection Rule:

When a shape is reflected across the y-axis, each coordinate $(x, y)$ of the preimage transforms to $(-x, y)$ for the image.