triangle xyz is reflected across the \$y\$-axis, and \\(x = (4, -5)\\…

QUESTION IMAGE

$triangle xyz is reflected across the \$y\$-axis, and \\(x = (4, -5)\\…$

Question

triangle xyz is reflected across the \$y\$-axis, and \$x = (4, -5)\$. what are the coordinates of \$x\$?

\$(-5, 4)\$
\$(-4, -5)\$
\$(4, 5)\$
\$(-4, 5)\$

Explanation:

Response

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Identify the given point and transformation

The given point is $X = (4, -5)$. The transformation is a reflection across the $y$-axis.

Apply the reflection rule

A reflection across the $y$-axis maps a point $(x, y)$ to $(-x, y)$.

Calculate the coordinates of the image

\[
X' = (-4, -5)
\]
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Answer: