A translation that maps the blue triangle onto the red triangle is :

a translation of 5 units to the right followed of a translation of 2 units up.

Step-by-step explanation:

This seems to be a translation because if we measure the base of both triangles, we can see that the base of the blue triangle is 5 units long, and the base of the red triangle is also 5 units long.

To find the translation in this case, is easier to only analyze one point, so let's call A as the top vertex in the blue triangle and A' as the top vertex in the red triangle.

Here we only need to see the change between A and A'

So first, let's find the coordinates of both points.

The top vertex of the blue triangle is A (-3, 5)

The top vertex of the red triangle is A' (2, 7)

Now we need to find the difference between these points, this is the direct subtraction:

A' - A

(2, 7) -  (-3, 5) =  (2 - (-3), 7 - 5) = (5, 2)

So we get this, (5, 2)

This means that the translation is a motion of 5 units in the x-axis (because the number is positive, this means that the motion is in the positive x-axis)

And a translation of 2 units up.

Then the translation that maps the blue triangle into the red triangle is:

a translation of 5 units to the right followed of a translation of 2 units up.