Question

the triangles on the grid represent a translation. which translation is shown on the grid? a horizontal translation only a horizontal translation followed by a vertical translation a vertical translation only a vertical translation followed by a horizontal translation

Explanation:

Step1: Analyze horizontal movement

Check if there is any horizontal shift. The \(x -\)coordinates of corresponding points (e.g., \(B(1,-5)\) and \(B'(1,1)\)) do not change in the horizontal direction.

Step2: Analyze vertical movement

Check the vertical shift. For point \(A(1, - 1)\) and \(A'(1,5)\), the \(y -\)coordinate changes. The formula for vertical translation is \(y=y_0 + k\), where \(y_0\) is the original \(y -\)coordinate and \(k\) is the vertical shift. Here, \(k = 5-(-1)=6\).

Answer:

a vertical translation only