Respuesta :

The rule for a translation 6 units to the left is given by

[tex](x,y)\longrightarrow(x-6,y)[/tex]

By applying this rule to our vertex, we have

[tex](5,10)\longrightarrow(5-6,10)=(-1,10)[/tex]

Now, the rule for a translation 3 units up is given by

[tex](x,y)\longrightarrow(x,y+3)[/tex]

Then, by applying this rule to our last result, we obtain

[tex](-1,10)\longrightarrow(-1,10+3)=(-1,13)[/tex]

Therefore, the answer is: (-1, 13)

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