Respuesta :

Answer:

Vertical translation is along the y axis while horizontal translation is along the x-axis.

Vertex A' is at (-1 - 3, 2 + 6) = (-4, 8)

Vertex B' is at (1 - 3, 5 + 6) = (-2, 11)

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Step-by-step explanation:

The vertex [tex]$A^{\prime}$[/tex] is at (-4, 8).

Vertex

The translation rule for translating point h units left is given by:-

[tex]$(x, y) \rightarrow(x-h, k)$[/tex]

The translation rule for translating a point k units up is given by:-

[tex]$(x, y) \rightarrow(x, y+k)$[/tex]

Given: [tex]$\triangle A B C$[/tex] is translated 6 units up and 3 units left to create [tex]$\triangle A^{\prime} B^{\prime} C^{\prime}$[/tex]. If vertex A is at (-1,2) and vertex B is at (1,5).

Then, the vertex A' will be:-

[tex]$A(-1,2) \rightarrow(-1-3,2+6)=(-4,8)$[/tex]

Therefore, the vertex [tex]$A^{\prime}$[/tex] is at (-4, 8).

To learn more about vertex

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