Question

select the correct button in the table to show whether each image is the result of a horizontal translation or a vertical translation.
horizontal translation vertical translation
$w(4,9)\to w(4, - 2)$
$x(-3,5)\to x(-1,5)$
$y(6,-1)\to y(6,0)$

Explanation:

Step1: Analyze \(W(4,9)\to W'(4, - 2)\)

The \(x\) - coordinate remains the same (\(x = 4\)), and the \(y\) - coordinate changes from \(9\) to \(-2\). So it's a vertical translation.

Step2: Analyze \(X(-3,5)\to X'(-1,5)\)

The \(y\) - coordinate remains the same (\(y = 5\)), and the \(x\) - coordinate changes from \(-3\) to \(-1\). So it's a horizontal translation.

Step3: Analyze \(Y(6,-1)\to Y'(6,0)\)

The \(x\) - coordinate remains the same (\(x = 6\)), and the \(y\) - coordinate changes from \(-1\) to \(0\). So it's a vertical translation.

Answer:

1. \(W(4,9)\to W'(4, - 2)\): Vertical Translation
2. \(X(-3,5)\to X'(-1,5)\): Horizontal Translation
3. \(Y(6,-1)\to Y'(6,0)\): Vertical Translation