Questions: The points in the table below represent a shape in the coordinate plane. Apply the following transformations to that shape. - Reflected across the y-axis x y -7 9 5 -5 -1 -6 12 -12

The points in the table below represent a shape in the coordinate plane. Apply the following transformations to that shape.
- Reflected across the y-axis

x y
-7 9
5 -5
-1 -6
12 -12

Transcript text: The points in the table below represent a shape in the coordinate plane. Apply the following transformations to that shape. - Reflected across the $y$-axis \begin{tabular}{cc} x & y \\ -7 & 9 \\ 5 & -5 \\ -1 & -6 \\ 12 & -12 \end{tabular}

Solution

Solution Steps

Step 1: Understanding Reflection across the y-axis

When a point $ (x, y) $ is reflected across the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. The transformed point becomes $ (-x, y) $.

Step 2: Applying the transformation to each point

We apply the transformation to each point in the table:

$(-7, 9)$ becomes $(7, 9)$
$(5, -5)$ becomes $(-5, -5)$
$(-1, -6)$ becomes $(1, -6)$
$(12, -12)$ becomes $(-12, -12)$

Step 3: Presenting the transformed points

The transformed points are: \begin{tabular}{cc} x & y \\ 7 & 9 \\ -5 & -5 \\ 1 & -6 \\ -12 & -12 \end{tabular}

Final Answer

The transformed points after reflection across the y-axis are: \$ \boxed{ \begin{tabular}{cc} x & y \\ 7 & 9 \\ -5 & -5 \\ 1 & -6 \\ -12 & -12 \end{tabular}} \$

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