Respuesta :

We need to translate this triangle following the rule (x + 6, y - 2), that is, moving the figure six units to the right, and moving the figure 2 units downward.

For doing this, we need to identify the points of the vertices of the triangle ABC:

A(-6, 2)

B(-2, 4)

C(-4, -4)

We need to be careful that each unit on the x-axis and y-axis are equivalent to 2 units.

Then, applying the rule fr the translation, we have:

T ---> (x+6, y-2)

A(-6, 2) ---> A'(-6+6, 2-2) ---> A'(0, 0)

B(-2, 4) ---> B'(-2+6, 4-2) ---> B'(4, 2)

C(-4, -4) ---> C'(-4+6, -4-2) ---> C'(2, -6)

Then, the vertices of the image are:

A'(0, 0)

B'(4, 2)

C'(2, -6)

The image can be represented in the next graph:

In summary, we have that the vertices of the triangle ABC when it is translated by the rule (x+6, y-2) are:

A'(0, 0)

B'(4, 2)

C'(2, -6)

And we can see this transformation in the above graph.

Ver imagen JulynnJ467559
Ver imagen JulynnJ467559
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