Graph the image of K(-1, 8) after a reflection over the y-axis.
Understand the Problem
The question asks for the graphing of the image of the point K(-1, 8) after it has been reflected over the y-axis. To solve this, we will determine the new coordinates of K after the reflection and create a graph.
Answer
The coordinates of the reflected point are $K'(1, 8)$.
Answer for screen readers
The new coordinates of the point after reflection over the y-axis are $K'(1, 8)$.
Steps to Solve
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Identify the Original Coordinates
The original coordinates of point K are given as $(-1, 8)$. -
Reflect Over the y-axis
When a point $(x, y)$ is reflected over the y-axis, its x-coordinate changes sign while the y-coordinate remains the same. Thus, the new coordinates after reflection are:
$$ K' = (-(-1), 8) = (1, 8) $$ -
Graph the New Point
Now that we have the new coordinates $K'(1, 8)$, you can plot this point on the graph. Locate $1$ on the x-axis and $8$ on the y-axis, then place the point at that location.
The new coordinates of the point after reflection over the y-axis are $K'(1, 8)$.
More Information
The reflection of a point over the y-axis is a common transformation in geometry, which involves negating the x-coordinate of the point while keeping the y-coordinate unchanged.
Tips
- Forgetting to change the sign of the x-coordinate during the reflection process.
- Confusing reflection over the y-axis with reflection over the x-axis, which requires changing the y-coordinate instead.
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